Algebra
Calculus
Trigonometry
Matrix
Question
Expand the expression
−log10(3)−log10(x)+8
Evaluate
−log10(3x(10−8))
Calculate
−log10(3x×10−8)
Multiply the numbers
−log10(3×10−8x)
Rewrite the expression
More Steps
Evaluate
3×10−8x
Rewrite the expression
More Steps
Evaluate
3×10−8
Express with a positive exponent using a−n=an1
3×1081
Rewrite the expression
1083
1083×x
Rewrite the expression
1083x
−log10(1083x)
Use loga(yx)=loga(x)−loga(y) to transform the expression
−(log10(3x)−log10(108))
Use loga(x×y)=loga(x)+loga(y) to transform the expression
−(log10(3)+log10(x)−log10(108))
Use logaan=n to simplify the expression
−(log10(3)+log10(x)−8)
Solution
−log10(3)−log10(x)+8
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