Question

Solve without calculator.
2^(5-x)= 6

Answer 1

ln both sides first

Answer 2

With potentially any base

Answer 3

\[\Large\begin{array}{rcl}
2^{5-x}&=&6\\
\ln2^{5-x}&=&\ln6\\
(5-x)\ln2&=&\ln6\\
5\ln2-x\ln2&=&\ln6\\
x\ln2&=&5\ln2-\ln6\\
x&=&\frac{5\ln2-\ln6}{\ln2}
\end{array}\]

Answer 4

\[\Large\begin{array}{rcl}
2^{5-x}&=&6\\
\log_22^{5-x}&=&\log_26\\
5-x&=&\log_26\\
x&=&5-\log_26
\end{array}\]

Answer 5

Any step not understood?

Answer 6

it says the answer is \[5-\frac{ \log6 }{\log2 }\]

Answer 7

That's just the same

Answer 8

I forgot to tell you one more formula:
\[\Large\frac{\log_na}{\log_nb}=\log_ba\]

Answer 9

ohh I'm really bad at these

Answer 10

With practice you'll excel in no time :)

Answer 11

apparently i need more practice then i thought

Answer 12

Find log25/log5 without a calculator

Answer 13

log5?

Answer 14

Nope

Answer 15

\[\frac{\log25}{\log5}=\log_525=2\]

Answer 16

ugghh im never going to get it