Question

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

3^r=18
what is the variable?

Answer 1

2.631

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

The answer to your question is r = 2.6306

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