Question : 4^x=40 Solve the equation x=23+log2(5)Alternative Form x≈2.660964 Evaluate 4x=40Take 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 Graph
Algebra
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