How do you write $X = {log 3}^{8}$ $X=log3^8$ in exponential form?

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How do you write $X = {log 3}^{8}$ $X=log3^8$ in exponential form?

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Answer 1 · 2015-11-05T20:45:00

$e^{\frac{x}{8}} = 3$ $e^(x/8) = 3$

Explanation:

Given: $x = ln (3^{8})$ $x = ln(3^8)$

$x = 8 ln (3)$ $x =8 ln(3)$

$\frac{x}{8} = ln (3)$ $x/8 = ln(3)$

$e^{\frac{x}{8}} = 3$ $e^(x/8) = 3$

The normal convention when writing about Napierian logs is to use 'ln' and not 'log'. It is more common for log to refer to different bases. The most common is log to base ten. Strictly speaking this would be written as ${log}_{10}$ $log_10$ . You can also get ${log}_{2}$ $log_2$ and many more.

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How do you write $X = {log 3}^{8}$ $X=log3^8$ in exponential form?

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