MATH SOLVE

3 months ago

Q:
# What is the solution of logx 729=3?

Accepted Solution

A:

Answer: SolutionStep-by-step explanation:Rewrite logx729= 3 is an exponential form using the definition of a logarithm. If x and b are positive real numbers and bβ 1, then logb(x)= y is equivalent to b^y = x.X^3 = 729 Take cube root on both side and we getx= 3β729now we firstly simplify the 3β729Rewrite 729 as 9^3x = 3β9^3pull terms out from under the redical, assuming positive real numbersx=9verify each of the solution by substituting them into logx729=3 and solving.x= 9