Question
Expand the expression
−log10(x)+1+3log10(5)
Evaluate
−log10(8x(10−4))
Calculate
−log10(8x×10−4)
Multiply the numbers
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Multiply the terms
8x×10−4
Multiply the numbers
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Evaluate
8×10−4
Evaluate the power
8×100001
Multiply the numbers
12501
12501x
−log10(12501x)
Rewrite the expression
−log10(1250x)
Use loga(yx)=loga(x)−loga(y) to transform the expression
−(log10(x)−log10(1250))
Simplify the expression
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Evaluate
log10(1250)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
log10(10)+log10(125)
Use logaan=n to simplify the expression
1+log10(125)
Simplify the expression
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Evaluate
log10(125)
Write the number in exponential form with the base of 5
log10(53)
Use logabn=nlogab to simplify the expression
3log10(5)
1+3log10(5)
−(log10(x)−(1+3log10(5)))
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−(log10(x)−1−3log10(5))
Solution
−log10(x)+1+3log10(5)
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