Question
Expand the expression
3+3log2(x)−25log2(y)
Evaluate
log4(y564x6)
Use loga(yx)=loga(x)−loga(y) to transform the expression
log4(64x6)−log4(y5)
Simplify the expression
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Evaluate
log4(64x6)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
log4(64)+log4(x6)
Simplify the expression
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Evaluate
log4(64)
Write the number in exponential form with the base of 4
log4(43)
Use logaan=n to simplify the expression
3
3+log4(x6)
Simplify the expression
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Evaluate
log4(x6)
Write the number in exponential form with the base of 2
log22(x6)
Use logambn=mnlogab to simplify the expression
26log2(x)
Multiply the terms
3log2(x)
3+3log2(x)
3+3log2(x)−log4(y5)
Solution
More Steps

Evaluate
log4(y5)
Write the number in exponential form with the base of 2
log22(y5)
Use logambn=mnlogab to simplify the expression
25log2(y)
3+3log2(x)−25log2(y)
Show Solution
