O webassignnetveb StudentAssignment Responses submitdepe 1 6

O webassign.net/veb Student/Assignment Responses submit?depe 1 6477285 Solve the exponential equation algebraically. Approximate the result to three d 6(45-3) _ 2 = 7 x = | 294 150375 Need Help? Read it 24, ÷1 1points tarpCalc10 3.4.037 Solve the exponential equation algebraically. Approximate the result to three deci Need Help? Read it 25. -1 points LarPCalc10 3.4.039 Solve the exponential equation algebraically. Approximate the result to three decim Read It search the web and Windows

Solution

1) 6 ( 4^5x-3 ) -2 = 7

adding 2 on both sides

6 ( 4^5x-3 ) = 9

dividing both sides by 6

4^(5x-3) = 9/6

taking natural log on both sides

5x - 3 ln 4 = ln 9/6

(5x - 3) = ln 9/6 / ln 4

x = 0.658

2) 7^x = 9^(x-1)

x ln 7 = (x-1) ln 9

x ln 7 = x ln 9 - ln 9

x ( ln 7 - ln 9 ) = -ln 9

x = 8.743

3) 3^x = 8^x^2

x ln 3 = x^2 ln 8

x( x ln 8 - ln 3 ) = 0

x = 0

x ln 8 = ln 3

x = ln 3 / ln 8

x = 0.528