Question
Expand the expression
−2log10(2)−log10(x)+6
Evaluate
−log10(4x(10−6))
Calculate
−log10(4x×10−6)
Multiply the numbers
−log10(4×10−6x)
Rewrite the expression
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Evaluate
4×10−6x
Rewrite the expression
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Evaluate
4×10−6
Express with a positive exponent using a−n=an1
4×1061
Rewrite the expression
1064
1064×x
Rewrite the expression
1064x
−log10(1064x)
Use loga(yx)=loga(x)−loga(y) to transform the expression
−(log10(4x)−log10(106))
Simplify the expression
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Evaluate
log10(4x)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
log10(4)+log10(x)
Simplify the expression
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Evaluate
log10(4)
Write the number in exponential form with the base of 2
log10(22)
Use logabn=nlogab to simplify the expression
2log10(2)
2log10(2)+log10(x)
−(2log10(2)+log10(x)−log10(106))
Use logaan=n to simplify the expression
−(2log10(2)+log10(x)−6)
Solution
−2log10(2)−log10(x)+6
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