What is the integral from 0 to log_{7 of (5)}7^x ?

The integral from 0 to log_{7 of (5)}7^x is 4/(ln(7))

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integral from 0 to log_{7 of (5)}7^x

\int_{0}^{l o g_{7} (5)} 7^{x} d x

\frac{4}{ln ( 7 )}

Decimal

2.05559 \dots

Solution steps

\int_{0}^{l o g_{7} (5)} 7^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= [\frac{7 ^{x}}{ln ( 7 )}]_{0}^{l o g_{7} (5)}

Compute the boundaries:

\frac{4}{ln ( 7 )}

= \frac{4}{ln ( 7 )}

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What is the integral from 0 to log_{7 of (5)}7^x ?
The integral from 0 to log_{7 of (5)}7^x is 4/(ln(7))