Algebra
Calculus
Trigonometry
Matrix
Question
Calculate the value
−36+12log2(5)
Alternative Form
≈−8.136863
Evaluate
0−(log10(2)12log10(100160))
Cancel out the common factor 20
0−(log10(2)12log10(58))
Use the logarithm base change rule
0−12log2(58)
Removing 0 doesn't change the value,so remove it from the expression
−12log2(58)
Simplify
More Steps
Evaluate
log2(58)
Use loga(yx)=loga(x)−loga(y) to transform the expression
log2(8)−log2(5)
Simplify the expression
More Steps
Evaluate
log2(8)
Write the number in exponential form with the base of 2
log2(23)
Use logaan=n to simplify the expression
3
3−log2(5)
−12(3−log2(5))
Solution
−36+12log2(5)
Alternative Form
≈−8.136863
Show Solution
