Algebra
Calculus
Trigonometry
Matrix
Question
Expand the expression
−1−3log10(2)−log10(x)
Evaluate
−log10(2x(101×4))
Evaluate the power
−log10(2x(10×4))
Multiply the numbers
−log10(2x×40)
Multiply the terms
−log10(80x)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
−(log10(80)+log10(x))
Simplify the expression
More Steps
Evaluate
log10(80)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
log10(10)+log10(8)
Use logaan=n to simplify the expression
1+log10(8)
Simplify the expression
More Steps
Evaluate
log10(8)
Write the number in exponential form with the base of 2
log10(23)
Use logabn=nlogab to simplify the expression
3log10(2)
1+3log10(2)
−(1+3log10(2)+log10(x))
Solution
−1−3log10(2)−log10(x)
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