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Popular >

simplify ln(5^x)-ln(5^{x-1})

Solution

simplify

ln (5^{x}) - ln (5^{x - 1})

Solution

ln (5)

+1

Decimal Notation

1.60943 \dots

Solution steps

ln (5^{x}) - ln (5^{x - 1})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (5^{x}) - ln (5^{x - 1}) = ln (\frac{5 ^{x}}{5 ^{x - 1}})

= ln (\frac{5 ^{x}}{5 ^{x - 1}})

\frac{5 ^{x}}{5 ^{x - 1}} = 5

= ln (5)

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Frequently Asked Questions (FAQ)

What is ln(5^x)-ln(5^{x-1}) ?
The solution to ln(5^x)-ln(5^{x-1}) is ln(5)