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Popular >

simplify ln(1.72x10^5)

Solution

simplify

ln (1.72 x 1 0^{5})

Solution

ln (1.72) + ln (x) + 5 ln (10)

Solution steps

ln (1.72 x \cdot 1 0^{5})

Apply log rule:

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

ln (1.72 x \cdot 1 0^{5}) = ln (1.72) + ln (x) + ln (1 0^{5})

= ln (1.72) + ln (x) + ln (1 0^{5})

Apply log rule:

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

ln (1 0^{5}) = 5 ln (10)

= ln (1.72) + ln (x) + 5 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(1.72x10^5) ?
The solution to ln(1.72x10^5) is ln(1.72)+ln(x)+5ln(10)