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 2020-12-02 Answered
Solve the equation by expressing each side as a power of the same base and then equating exponents. Given: 84x=3.1
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2k1enyvp
Answered 2020-12-03 Author has 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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