Algebra
Calculus
Trigonometry
Matrix
Question
Expand the expression
−log10(2)−log10(x)+14
Evaluate
−log10(2x(10−14))
Calculate
−log10(2x×10−14)
Multiply the numbers
−log10(2×10−14x)
Rewrite the expression
More Steps
Evaluate
2×10−14x
Rewrite the expression
More Steps
Evaluate
2×10−14
Express with a positive exponent using a−n=an1
2×10141
Rewrite the expression
10142
10142×x
Rewrite the expression
10142x
−log10(10142x)
Use loga(yx)=loga(x)−loga(y) to transform the expression
−(log10(2x)−log10(1014))
Use loga(x×y)=loga(x)+loga(y) to transform the expression
−(log10(2)+log10(x)−log10(1014))
Use logaan=n to simplify the expression
−(log10(2)+log10(x)−14)
Solution
−log10(2)−log10(x)+14
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