Practicing Success
Practicing Success
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The equation $5^{1+\log_5 \cos x}= 2.5$ has |
no solution one solution two solutions more than two solutions |
more than two solutions |
We have, $5^{1+\log_5 \cos x}= \frac{5}{2}$ taking log to the base '5' on both sides $⇒1 + \log_5 \cos x = \log_55-\log_52$ $⇒\log_5 \cos x =-\log_5 2$ so $\cos x=2^{-1}⇒\cos x=\frac{1}{2}$ $⇒x=2n\,π±\frac{π}{3},n∈Z$. |
