Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$LO G _{ { 3 }^{ \sqrt{ { 3 }^{ 27 } } } }$$

Answer

$$LOG_3^3^(27/2)$$

Solution


Simplify  \(\sqrt{{3}^{27}}\)  to  \({({3}^{27})}^{\frac{1}{2}}\).
\[{LOG_3}^{{({3}^{27})}^{\frac{1}{2}}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{LOG_3}^{{3}^{\frac{27}{2}}}\]
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