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Popular >

simplify ln(x)-4ln(4)

Solution

simplify

ln (x) - 4 ln (4)

Solution

ln (\frac{x}{256})

Solution steps

ln (x) - 4 ln (4)

Apply log rule:

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

4 ln (4) = ln (4^{4})

= ln (x) - ln (4^{4})

Apply log rule:

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

ln (x) - ln (4^{4}) = ln (\frac{x}{4 ^{4}})

= ln (\frac{x}{4 ^{4}})

4^{4} = 256

= ln (\frac{x}{256})

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Frequently Asked Questions (FAQ)

What is ln(x)-4ln(4) ?
The solution to ln(x)-4ln(4) is ln(x/(256))