Solve. 90^x = 27. explain every step.

The answer is ⇒ x = 0.73244

Step-by-step explanation:

∵ 90^x = 27 ⇒ insert log in both sides

∴

∵ 90 = 9 × 10 , 27 = 3³

∵ log(a)^b = b log(a)

∴ log(9 × 10)^x = x log(9 × 10)

∴

∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)

∴

∵ log(10) = 1 , 9 = 3²

∴

∴

∴ x = (3log3)/[2log(3)+1]

∴ x = 0.73244

ANSWER

EXPLANATION

The given exponential equation is

We take natural log of both sides

Recall and the following property of logarithms.

This implies that;

Solve for x.

step-by-step explanation:

0 is its x and y coordinate