Question

Solve 3^(2x) = 7^(x−1).
−7.74293
7.74293
−1
1

Answer 1

(First one)

Answer 2

take the natural log of each side

ln[3^(2x)] = ln[7^(x−1)]
bring the exponents down
2x*ln(3) = (x-1)*ln(7)

distribute

2x*ln(3) = x*ln(7) - ln(7)

move the variables to one side

2x*ln(3) - x*ln(7) = - ln(7)

factor out x

x(2*ln(3) - ln(7)) = - ln(7)

then isolate x and plug in the logs into your calculator to solve

Answer 3

Okie, one second

Answer 4

I got

Answer 5

−7.74293

Answer 6

good

do you understand all the steps?

Answer 7

Yes maams :D, thank you!