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Popular >

simplify ln(1*10^{10})

Solution

simplify

ln (1 \cdot 1 0^{10})

Solution

10 ln (10)

+1

Decimal Notation

23.02585 \dots

Solution steps

ln (1 \cdot 1 0^{10})

Apply log rule:

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

ln (1 \cdot 1 0^{10}) = ln (1) + ln (1 0^{10})

= ln (1) + ln (1 0^{10})

Apply log rule:

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

ln (1 0^{10}) = 10 ln (10)

= ln (1) + 10 ln (10)

Apply log rule:

lo g_{a} (1) = 0

= 0 + 10 ln (10)

0 + 10 ln (10) = 10 ln (10)

= 10 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(1*10^{10}) ?
The solution to ln(1*10^{10}) is 10ln(10)