logx4 = 1/3
assuming you mean
log x 4 = 1/3
then x^(1/3) = 4
x = 4^3 = 64
To solve the equation logx4 = 1/3, we need to isolate the variable x.
Step 1: Write the equation in exponential form.
In logarithmic form, logx4 = 1/3 means that x raised to the power of 1/3 equals 4. So, we can rewrite the equation as x^(1/3) = 4.
Step 2: Eliminate the exponent.
To get rid of the fractional exponent, we can cube both sides of the equation. This will give us (x^(1/3))^3 = 4^3, which simplifies to x^(1/3 * 3) = 64.
Step 3: Simplify the equation.
Since 1/3 * 3 equals 1, the equation simplifies to x^1 = 64, or simply x = 64.
Therefore, the solution to the equation logx4 = 1/3 is x = 64.