312x 4x 12x 05x 523x 8 log13x2 x log13x2 x 1Solution6

3^1-2x = 4^x 1.2^x = (0.5)^-x 5(2^3x) = 8 log_1/3(x^2 + x) - log_1/3(x^2 - x) = 1

Solution

6) 3^(1 – 2x) = 4^x

(1 – 2x)*ln3 = x*ln4

(1 – 2x)/x = 1.262

1 – 2x = 1.262x

x = 0.307

7) 1.2^x = 0.5^-x

x*ln1.2 = -x*ln0.5

No solution

8) 5*2^3x = 8

2^3x = 8/5

3x*ln2 = ln1.6

x = 0.226

9)

log_1/3 [(x+1)/(x-1)] = 1

log[(x+1)/(x-1)]/log(1/3) = 1

log[(x+1)/(x-1)] = log(1/3)

[(x+1)/(x-1)] = 1/3

3*(x + 1) = x – 1

2x = -4

x = -2