Algebra
Calculus
Trigonometry
Matrix
Question :
4^x=40
Solve the equation
x=23+log2(5)
Alternative Form
x≈2.660964
Evaluate
4x=40
Take the logarithm of both sides
log4(4x)=log4(40)
Evaluate the logarithm
x=log4(40)
Simplify
More Steps
Evaluate
log4(40)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
log4(4)+log4(10)
Use logaan=n to simplify the expression
1+log4(10)
Simplify the expression
More Steps
Evaluate
log4(10)
Write the number in exponential form with the base of 2
log22(10)
Use logamb=m1logab to simplify the expression
21log2(10)
1+21log2(10)
Rewrite the expression
1+2log2(10)
Reduce fractions to a common denominator
22+2log2(10)
Write all numerators above the common denominator
22+log2(10)
x=22+log2(10)
Solution
x=23+log2(5)
Alternative Form
x≈2.660964
Show Solution
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