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Popular >

simplify ln(200*b^x)

Solution

simplify

ln (200 \cdot b^{x})

Solution

ln (200) + x ln (b)

Solution steps

ln (200 b^{x})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (200 b^{x}) = ln (200) + ln (b^{x})

= ln (200) + ln (b^{x})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (b^{x}) = x ln (b)

= ln (200) + x ln (b)

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Frequently Asked Questions (FAQ)

What is ln(200*b^x) ?
The solution to ln(200*b^x) is ln(200)+xln(b)