Questions: Solve for x (x+4)^(5 / 7)=32 x=

Solution Steps

To solve the equation \((x+4)^{5/7} = 32\), we need to isolate \(x\). First, raise both sides of the equation to the power of \(\frac{7}{5}\) to eliminate the fractional exponent. Then, subtract 4 from both sides to solve for \(x\).

To solve the equation \((x+4)^{5/7} = 32\), we first need to eliminate the fractional exponent. We do this by raising both sides of the equation to the power of \(\frac{7}{5}\):

\[ (x+4) = 32^{\frac{7}{5}} \]

Calculate \(32^{\frac{7}{5}}\):

\[ 32^{\frac{7}{5}} \approx 127.9999 \]

Subtract 4 from both sides to solve for \(x\):

\[ x = 127.9999 - 4 \]

\[ x \approx 123.9999 \]

Final Answer