Question
simplify logx 4=3
Answers
GPT-4o mini
To simplify the equation \(\log_x 4 = 3\), we can rewrite it in exponential form. The logarithmic equation \(\log_x 4 = 3\) means that \(x\) raised to the power of \(3\) equals \(4\). This can be expressed as:
\[
x^3 = 4
\]
To solve for \(x\), we can take the cube root of both sides:
\[
x = 4^{1/3}
\]
This can also be expressed as:
\[
x = \sqrt[3]{4}
\]
Therefore, the simplified form of the equation \(\log_x 4 = 3\) gives us:
\[
x = \sqrt[3]{4}
\]
\[
x^3 = 4
\]
To solve for \(x\), we can take the cube root of both sides:
\[
x = 4^{1/3}
\]
This can also be expressed as:
\[
x = \sqrt[3]{4}
\]
Therefore, the simplified form of the equation \(\log_x 4 = 3\) gives us:
\[
x = \sqrt[3]{4}
\]