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Popular >

simplify ln(x)+6ln(2(2)^3)

Solution

simplify

ln (x) + 6 ln (2 (2)^{3})

Solution

ln (16777216 x)

Solution steps

ln (x) + 6 ln (2 (2)^{3})

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

6 ln (2^{3} \cdot 2) = ln ((2^{3} \cdot 2)^{6})

= ln (x) + ln ((2^{3} \cdot 2)^{6})

Apply log rule:

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

ln (x) + ln ((2^{3} \cdot 2)^{6}) = ln ((2^{3} \cdot 2)^{6} x)

= ln ((2^{3} \cdot 2)^{6} x)

Simplify

x (2 \cdot 2^{3})^{6} : 16777216 x

= ln (16777216 x)

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Frequently Asked Questions (FAQ)

What is ln(x)+6ln(2(2)^3) ?
The solution to ln(x)+6ln(2(2)^3) is ln(16777216x)