i need help with this 8^2x=11 solve the giver equation
what comes to mind, is taking log(base 8) of both sides.
\(\large \begin{align} \color{black}{ \normalsize \text{is it } \hspace{.33em}\\~\\ 8^2x=11 \hspace{.33em}\\~\\ \normalsize \text{or} \hspace{.33em}\\~\\ 8^{2x}=11 \hspace{.33em}\\~\\ }\end{align}\)
8^2x=11 so the secant one
u mean this one \(\LARGE \begin{align} \color{black}{ 8^{2x}=11 \hspace{.33em}\\~\\ }\end{align}\)
yes
OK
ya i don't under stand how to do it
\(\large \begin{align} \color{black}{ 8^{2x}=11 \hspace{.33em}\\~\\ (8^{2})^x=11 \hspace{.33em}\\~\\ (64)^x=11 \hspace{.33em}\\~\\ \log (64)^x=\log 11 \hspace{.33em}\\~\\ x\log (64)=\log 11 \hspace{.33em}\\~\\ x=\dfrac{\log 11}{\log 64} \hspace{.33em}\\~\\ }\end{align}\) see it makes sense
see if it makes sense
ok but it is not telling me what the ancer
2.0794 c. 2.3979 0.5766 d. 6.0902 it is one of them
that can be solved further by taking logs . so we have to take log for that.
ok
have they given log table ?
no
we can use the wolfram http://www.wolframalpha.com/input/?i=%5Cdfrac%7B%5Clog+11%7D%7B%5Clog+64%7D%3D
ok
so its \(\large \begin{align} \color{black}{ 0.5766 \hspace{.33em}\\~\\ }\end{align}\)
\[\Huge \begin{array}l\color{red}{\text{w}}\color{orange}{\text{e}}\color{#E6E600}{\text{l}}\color{green}{\text{c}}\color{blue}{\text{o}}\color{purple}{\text{m}}\color{purple}{\text{e}}\color{red}{\text{ }}\color{orange}{\text{t}}\color{#E6E600}{\text{o}}\color{green}{\text{ }}\color{blue}{\text{o}}\color{purple}{\text{p}}\color{purple}{\text{e}}\color{red}{\text{n}}\color{orange}{\text{s}}\color{#E6E600}{\text{t}}\color{green}{\text{u}}\color{blue}{\text{d}}\color{purple}{\text{y}}\color{purple}{\text{ }}\color{red}{\text{}}\end{array} \]
ty so much
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