Question

What is the solution of the equation 12^4x = 7? Round your answer to the nearest ten-thousandth.

5.1080

0.1958

0.9363

3.6481

Answer 1

the answer is b 0.1958

Answer 2

The correct answer is 0.1958.

Step-by-step explanation:
We will use a logarithmic equation to solve this.

The base of the exponent, 12, will be the base of the logarithm; the answer, 7, will be what we find the logarithm of.

This gives us the equation

`\log_(12)7=4x`

Finding log base 12 of 7 gives us
0.7831=4x.

Divide both sides by 4:
0.7831/4 = 4x/4
0.1958 = x.