Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents. 4^(x+2) = 16^(x-6)

Kathleen C.

Name: Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents. 6^x-8 = (1)/(216)
Uploaded: 2023-04-09T03:45:08-08:00
Duration: 1 min 5 s
Channel: Kathleen Carty
Description: Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents. 6^x-8 = (1)/(216)

Question

Solve the following exponential equation by expressing each side as a power of the same base and

Kathleen Carty · Accepted Answer

Step 1: Rewrite 216 as a power of 6.
216 = 6^3

Question

Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents. $6^{x-8} = \frac{1}{216}$

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