+26388 How to solve for an unknown power e.g 4^x=1024
I.
$$\begin{array}{rcl}
4^x &=& 1024 \\
(2*2)^x &=& 2^{10} \\
(2^2)^x &=& 2^{10} \\
2^{2x} &=& 2^{10} \\
2x&=&10\\
x &=& 5
\end{array}$$
II.
$$\begin{array}{rcl}
4^x &=& 1024 \\
4^x &=& 4^{5} \\
x &=& 5
\end{array}$$
III.
$$\begin{array}{rcl}
4^x &=& 1024 \quad | \quad \ln{()} \\
\ln{(4^x)} &=& \ln{(1024)} \\
x\ln{(4)} &=& \ln{(1024)} \\ \\
x &=& \frac{ \ln{(1024)} } { \ln{(4)} } \\ \\
x &=& 5
\end{array}$$
+26388 How to solve for an unknown power e.g 4^x=1024
I.
$$\begin{array}{rcl}
4^x &=& 1024 \\
(2*2)^x &=& 2^{10} \\
(2^2)^x &=& 2^{10} \\
2^{2x} &=& 2^{10} \\
2x&=&10\\
x &=& 5
\end{array}$$
II.
$$\begin{array}{rcl}
4^x &=& 1024 \\
4^x &=& 4^{5} \\
x &=& 5
\end{array}$$
III.
$$\begin{array}{rcl}
4^x &=& 1024 \quad | \quad \ln{()} \\
\ln{(4^x)} &=& \ln{(1024)} \\
x\ln{(4)} &=& \ln{(1024)} \\ \\
x &=& \frac{ \ln{(1024)} } { \ln{(4)} } \\ \\
x &=& 5
\end{array}$$
