Solve the equation by expressing each side as a power of the same base and then equating exponents. Given: 8^{4x}=3.1

Nannie Mack

Nannie Mack

Answered question

2020-12-02

Solve the equation by expressing each side as a power of the same base and then equating exponents. Given: 84x=3.1

Answer & Explanation

2k1enyvp

2k1enyvp

Skilled2020-12-03Added 94 answers

Step 1 Since the right side value is in decimals, we can’t express each side as a power of the same base. Step 2 We can solve the equation using properties of logarithm. 84x=3.1
ln(84x)=ln(3.1)
4x ln(8)=ln(3.1)
x=ln(3.1)12ln(2)

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