What is ln(1.08893)+0.037ln(x) ?

The solution to ln(1.08893)+0.037ln(x) is ln(1.08893x^{0.037})

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simplify ln(1.08893)+0.037ln(x)

simplify

ln (1.08893) + 0.037 ln (x)

ln (1.08893 x^{0.037})

Solution steps

ln (1.08893) + 0.037 ln (x)

Apply log rule:

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

0.037 ln (x) = ln (x^{0.037})

= ln (1.08893) + ln (x^{0.037})

Apply log rule:

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

ln (1.08893) + ln (x^{0.037}) = ln (1.08893 x^{0.037})

= ln (1.08893 x^{0.037})

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What is ln(1.08893)+0.037ln(x) ?
The solution to ln(1.08893)+0.037ln(x) is ln(1.08893x^{0.037})