Basic math: Expressions, Indices and Logarithms

Answers: x =1/3

Work: rewrite the log to express the unknown value of x

Log₈2 =x

Remove the log, 8^x=2 the we solve this by reducing 8 to base 2. Therefore, 8^x=2 becomes 2^(3)x =2^{1 .} the bases are the same meaning the exponents are equal too.

8^x=2

2^(3)x =2¹

3x=1

x=1

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