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Popular >

simplify ln(255*10^{22})

Solution

simplify

ln (255 \cdot 1 0^{22})

Solution

ln (255) + 22 ln (10)

+1

Decimal Notation

56.19813 \dots

Solution steps

ln (255 \cdot 1 0^{22})

Apply log rule:

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

ln (255 \cdot 1 0^{22}) = ln (255) + ln (1 0^{22})

= ln (255) + ln (1 0^{22})

Apply log rule:

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

ln (1 0^{22}) = 22 ln (10)

= ln (255) + 22 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(255*10^{22}) ?
The solution to ln(255*10^{22}) is ln(255)+22ln(10)