Logout Open In App
Open In App
Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 8: Q. 310 (page 824)

In the following exercises, solve.
(3x-2)12+1=6

Short Answer

Expert verified

The solution of the given equation is x=9.

Step by step solution

01

Step 1. Given information.

The given equation is:

(3x-2)12+1=6

02

Step 2. Solve the equation.

The given equation can be written as:

(3x-2)12=6-1(3x-2)12=5

Take square on both sides.

3x-2=(5)23x=25+2x=273x=9

03

Step 3. Conclusion.

The solution of the given equation is x=9.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercises, solve.

6x+43=4

Explain whyx4=x2{"x":[[79,82,83,87,91,93,93,95,97,99,100,103,103,104,104,104,105,106,109,116,127,145,161,175,183,186,187],[106,107,108,109,110,111,113,115,118,121,122,126,128,128,128,127,124,119,115,114,112,112,111,111,110,110,110],[141,138,135,134,132,130,129,128,128,128,129,130,132,134,137,142,145,148,149,150,151,151],[119,120,123,129,133,136,137],[153,154,154,156,156,157,157,157,157,157,157,156,156,156,156,156,156,156,156,156,156,156,155,154,152,150,149,149,148,149,149,154,162,170,178,179,180,180,179],[185,186,186,187,191,194,197,199,200,201],[183,184,185,189,195,202,206,208],[229,230,232,236,239,244,249,252,254,256,256,256,255,252,250,249,248,247,245,242,240,238],[264,264,262,261,261,261,260,260,260,260,260,261,262,264,268,272,281,286,289,289,289],[245,246,250,259,269,279,288,289,290,291],[277,281,281,282,283,283,283,283,283,283,283,282,285,289,296,303,308,309,309]],"y":[[105,107,109,112,115,116,117,112,103,93,81,69,55,48,45,44,44,43,42,41,40,38,35,32,31,29,29],[71,71,71,70,70,69,68,68,68,68,68,70,74,78,83,88,92,95,97,98,98,99,99,98,96,94,92],[65,65,68,71,75,79,83,87,89,92,96,98,101,104,105,105,105,103,101,99,98,97],[83,83,83,83,83,83,83],[52,53,54,57,61,66,70,75,76,77,76,74,71,66,62,59,57,56,55,54,53,52,52,54,58,60,62,63,64,64,65,65,65,63,62,60,60,61,61],[87,87,86,85,85,84,84,84,84,84],[98,97,97,96,95,94,92,92],[66,66,65,65,65,65,67,70,73,77,82,87,91,95,97,98,99,99,99,99,97,97],[66,65,65,67,70,73,78,82,86,90,93,95,97,98,99,99,98,95,93,92,91],[85,85,85,84,83,81,81,81,81,81],[49,49,50,50,52,56,58,60,62,63,64,64,65,65,65,64,63,62,63]],"t":[[0,26,43,60,76,94,126,159,177,193,209,227,243,260,276,292,309,327,343,359,376,392,409,426,442,459,475],[942,947,959,975,1000,1043,1059,1075,1092,1108,1125,1142,1159,1175,1192,1209,1225,1242,1259,1275,1292,1308,1345,1363,1375,1392,1399],[1736,1791,1807,1824,1842,1858,1875,1891,1908,1924,1941,1958,1974,1991,2008,2025,2041,2058,2074,2091,2108,2123],[2491,2520,2540,2557,2574,2590,2607],[3144,3217,3225,3239,3256,3272,3289,3305,3323,3388,3409,3424,3439,3455,3472,3489,3506,3522,3540,3556,3573,3605,3656,3672,3689,3705,3722,3739,3755,3899,3904,3922,3939,3955,3972,3988,4005,4107,4110],[4450,4455,4471,4488,4504,4521,4538,4554,4571,4607],[4831,4854,4870,4888,4904,4921,4937,4954],[5378,5403,5420,5437,5453,5470,5487,5503,5520,5537,5554,5570,5587,5604,5620,5636,5653,5671,5687,5704,5720,5724],[6030,6086,6102,6119,6136,6153,6170,6186,6202,6219,6237,6252,6270,6286,6303,6319,6336,6352,6370,6386,6391],[6718,6752,6769,6786,6802,6819,6836,6852,6868,6885],[7431,7441,7447,7453,7468,7485,7501,7518,7534,7551,7584,7601,7651,7668,7684,7701,7717,7734,7850]],"version":"2.0.0"}. Then explain whyx16=x8{"x":[[108,111,115,118,123,128,129,131,133,136,139,144,146,147,147,147,148,150,151,153,157,164,176,196,217,241,254,258,259],[177,179,181,185,188,192,195,197,199,200,200,199,193,185,178,172,170,169,168],[241,239,234,229,222,216,211,208,205,204,204,204,205,209,217,226,236,245,251,254],[189,190,194,203,211,216,218,218],[249,250,250,250,250,249,249,248,248],[270,269,268,267,266,265,265,265,265,265,265,267,268,270,273,276,278,280,280,280,280,280,280,278,277,274,271,270,270,269,269,269],[295,298,303,312,321,327,330,331],[303,304,307,311,314,318,320,322,323],[347,349,353,359,363,365,367,368,368,365,361,360,359,358,359],[387,386,383,378,373,367,364,361,360,360,360,362,369,374,380,383,384,384],[347,348,349,351,361,372,382,388,390],[403,404,407,410,411,413,414,414,415,415,413,410,408,406,406,406,405,405,405,407,408,409,411,412,412,412,412,412,409,407,405,404,403,403,402,401,401,401,401,401,401,403,405]],"y":[[170,170,173,175,179,182,184,184,180,173,162,145,129,112,96,83,74,70,69,68,68,68,68,68,68,66,64,63,63],[118,118,116,116,116,116,116,119,124,130,137,144,151,156,159,161,161,161,161],[110,110,112,115,120,126,132,138,143,148,152,155,157,158,159,159,156,152,149,148],[137,137,137,137,137,137,137,138],[75,77,80,86,90,95,99,101,103],[70,70,70,72,75,80,85,89,93,97,98,101,102,102,102,101,99,97,95,94,91,90,89,88,87,87,87,87,88,88,89,90],[121,121,121,121,120,119,118,118],[143,143,143,143,142,141,141,141,141],[111,111,110,110,111,115,119,125,134,140,143,145,145,140,136],[104,104,105,109,114,119,125,129,133,136,138,140,141,141,140,138,136,135],[127,126,126,126,125,124,123,122,122],[85,85,84,84,84,84,85,88,92,95,99,102,105,107,109,110,111,112,113,113,113,113,112,110,108,105,103,100,99,97,96,95,95,94,94,92,91,90,88,86,85,84,84]],"t":[[0,50,67,83,100,117,133,150,199,216,233,249,267,284,299,316,334,350,366,383,400,417,434,449,466,484,500,516,534],[1057,1065,1082,1099,1116,1132,1148,1165,1183,1200,1216,1232,1249,1265,1282,1299,1316,1333,1371],[1674,1682,1698,1715,1731,1748,1765,1782,1799,1815,1831,1849,1865,1881,1898,1915,1932,1948,1965,1975],[2386,2414,2431,2448,2464,2481,2497,2549],[2961,3014,3030,3047,3063,3080,3097,3113,3129],[3496,3523,3533,3546,3563,3579,3596,3613,3629,3647,3663,3680,3696,3713,3729,3746,3762,3779,3796,3813,3830,3846,3862,3879,3896,3913,3930,3945,3962,3979,3995,4012],[4562,4567,4578,4596,4612,4628,4645,4661],[4950,5023,5044,5062,5078,5096,5111,5127,5135],[5454,5461,5477,5494,5511,5527,5544,5561,5577,5594,5610,5627,5644,5694,5707],[5900,5910,5926,5943,5960,5977,5994,6010,6027,6043,6060,6076,6094,6109,6127,6143,6160,6163],[6436,6441,6445,6460,6477,6493,6510,6526,6543],[6953,6960,6975,6992,7009,7025,7042,7059,7076,7093,7108,7125,7142,7159,7175,7193,7209,7225,7247,7259,7276,7292,7308,7325,7342,7358,7375,7392,7408,7425,7441,7459,7515,7524,7541,7558,7575,7593,7608,7625,7643,7658,7669]],"version":"2.0.0"}.

In the following exercises, solve.

4x-3=7

Use the Quotient Property to simplify square roots.

(a) 50r5s2128r2s6

(b) 24m9n7375m4n3

(c) 81m2n8256mn24

In the following exercises, use the Product Property to simplify radical expressions a 645, b.2563
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free