sydneyjolie
solve equation: 2(2)^(x8)2=14 express answer using log



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anonymous
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add two to both sides
divide both sides by 2
you do not need logs for this

sydneyjolie
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2/2(2)^(x8)=16/2
2^(x8)=8

Mertsj
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Now write 8 as 2^3

sydneyjolie
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2^(x8)=2^3

Mertsj
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Now. The expressions are equal, the bases are the same so the exponents must be the same. Write and solve that equation.

sydneyjolie
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x8=3
x=11

anonymous
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yes!

sydneyjolie
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Thank you!