Question
Expand the expression
15log10(x)+13log10(y)−19log10(z)
Evaluate
log10(z19x15y13)
Use loga(yx)=loga(x)−loga(y) to transform the expression
log10(x15y13)−log10(z19)
Simplify the expression
More Steps

Evaluate
log10(x15y13)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
log10(x15)+log10(y13)
Use logabn=nlogab to simplify the expression
15log10(x)+log10(y13)
Use logabn=nlogab to simplify the expression
15log10(x)+13log10(y)
15log10(x)+13log10(y)−log10(z19)
Solution
15log10(x)+13log10(y)−19log10(z)
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