Question

Trigonometry. Solving exponential equations (lacking a common base):

Answer 1

Answer:

The answer to your question is x = 7.168

Step-by-step explanation:

Equation

                               9 $.^{x - 6}$ = 13

Process

1.- Get logarithms in both sides of the equation

                        (x - 6) log 9 = log 13

2.- Pass log 9 to the right side

                         x - 6 = log 13 / log 9

3.- Solve for x

                        x = 6 + log 13 / log 9

4.- Simplification

                        x = 6 + 1.1139 / 0.9542

                        x = 6 + 1.168

                        x = 7.168