Question
Expand the expression
2+log10(2)+log10(x)−log10(y)
Evaluate
log10((100×yx)×2)
Multiply the terms
log10(y100x×2)
Multiply the terms
More Steps

Multiply the terms
y100x×2
Multiply the terms
y100x×2
Multiply the terms
y200x
log10(y200x)
Use loga(yx)=loga(x)−loga(y) to transform the expression
log10(200x)−log10(y)
Solution
More Steps

Evaluate
log10(200x)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
log10(200)+log10(x)
Simplify the expression
More Steps

Evaluate
log10(200)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
log10(100)+log10(2)
Simplify the expression
2+log10(2)
2+log10(2)+log10(x)
2+log10(2)+log10(x)−log10(y)
Show Solution
