Question : 4^x = 4 sqrt3 Solve the equation x=44+log2(3)Alternative Form x≈1.396241 Evaluate 4x=43Take the logarithm of both sides log4(4x)=log4(43)Evaluate the logarithm x=log4(43)Solution More Steps Evaluate log4(43)Use loga(x×y)=loga(x)+loga(y) to transform the expression log4(4)+log4(3)Use logaan=n to simplify the expression 1+log4(3)Simplify the expression More Steps Evaluate log4(3)Write the number in exponential form with the base of 3 log22(321)Use logambn=mnlogab to simplify the expression 221log2(3)Multiply the terms 41log2(3) 1+41log2(3)Rewrite the expression 1+4log2(3)Reduce fractions to a common denominator 44+4log2(3)Write all numerators above the common denominator 44+log2(3) x=44+log2(3)Alternative Form x≈1.396241 Show Solution Graph
Algebra
Calculus
Trigonometry
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