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if $\log_3\left(2^x - 5\right), \: \log_3\left(2^x - \frac{7}{2}\right)$ are in arithmetic progression, then the value of $x$ is equal to

1. $5$
2. $4$
3. $2$
4. $3$

can we find value of x , only by given 2 terms ,

if i am not wrong then for , a,b ,c in AP , 2b=a+c , so here atleast 3 term should be there rt ?
yes,Right.

1
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