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.

10

step-by-step explanation:

7+3=10

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: