Question

Solve and round to the nearest hundredth please.

Answer 1

Answer:

The answer to your question is x = -0.171

Step-by-step explanation:

Equation

                         3$.^{8x + 4}$ - 5 = 13

Process

1.- Pass -5 to the right side

                         3$.^{8x + 4}$ = 13 + 5

2.- Simplify

                        3$.^{8x + 4}$  = 18          

3.- Get logarithm in both sides of the equation

                  (8x + 4)log 3 = log 18

4.- Pass log 3 to the right side

                  8x + 4 = log 18 / log 3

5.- Solve for x

                  8x = log 18/log 3 - 4

                    x = 1/8 [log 18 / log 3 - 4]

6.- Use the calculator to find x

                    x = 1/8 [ 1.255/0.477 - 4]

                    x = 1/8 [ 2.631 - 4]

                    x = 1/8 [ -1.369]

                   x = -0.171