Question

Trigonometry. Solving exponential equations (lacking a common base):
3^r=18
what is the variable?

Answer 1

Answer:

2.631

Step-by-step explanation:

3^r = 18

3^r = 3²×2

Log both sides

log(3^r) = log(3²×2)

r log 3 = 2log3 + log2

r = 2 + log2/log3

r = 2.6309297536

Answer 2

Answer:

The answer to your question is  r = 2.6306    

Step-by-step explanation:

Equation

                          3$.^{r} = 18$

Process

1.- Get the logarithm in both sides

                         r log3 = log 18

2.- Divide both sides by log 3

                         r log 3/ log 3 = log 18 / log 3

3.- Simplify

                                r = log 18/log 3

                                r = 1.25527 / 0.47712

4.- Result

                                r = 2.6306