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Popular >

simplify ln(128)log_{2}(e)

Solution

simplify

ln (128) lo g_{2} (e)

Solution

7

Solution steps

ln (128) lo g_{2} (e)

Apply log rule:

lo g_{a} (b) = \frac{ln ( b )}{ln ( a )}

ln (128) lo g_{2} (e) = \frac{ln ( 128 )}{ln ( e )} \cdot \frac{ln ( e )}{ln ( 2 )}

= \frac{ln ( 128 )}{ln ( e )} \cdot \frac{ln ( e )}{ln ( 2 )}

Refine

= \frac{ln ( 128 )}{ln ( 2 )}

Simplify

ln (128) : 7 ln (2)

= \frac{7 ln ( 2 )}{ln ( 2 )}

Cancel the common factor:

ln (2)

= 7

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Frequently Asked Questions (FAQ)

What is ln(128)log_{2}(e) ?
The solution to ln(128)log_{2}(e) is 7