The value of 811-log 5 3-27log 9 36-34-log 79 is equal to

The correct option is D 890 81^ ( 1/log_5 3 )+27^log_9 36+3^4/log_7 9 =3^4log_3 5+3^3log_3 36^1/2+3^log_3 7^4/2 =3^log_3 5^4+3^log_3 36^3/2+3^log_3 7^4/2 =5^4 ...

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Byju's Answer

Standard IX

Mathematics

Property 6

The value of ...

Question

The value of $81^{(\frac{1}{l o g_{5} 3})} + 27^{l o g_{9} 36} + 3^{\frac{4}{l o g_{7} 9}}$ is equal to

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625

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216

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890

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Solution

The correct option is D
890

$81^{(\frac{1}{l o g_{5} 3})} + 27^{l o g_{9} 36} + 3^{\frac{4}{l o g_{7} 9}}$

$= 3^{4 l o g_{3} 5} + 3^{3 l o g_{3} 36^{\frac{1}{2}}} + 3^{l o g_{3} 7^{\frac{4}{2}}}$

$= 3^{l o g_{3} 5^{4}} + 3^{l o g_{3} 36^{\frac{3}{2}}} + 3^{l o g_{3} 7^{\frac{4}{2}}}$

$= 5^{4} + 36^{\frac{3}{2}} + 7^{2} = 890$

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Similar questions

Q. The value of

81^{(\frac{1}{l o g_{5} 3})} + 27^{l o g_{9} 36} + 3^{\frac{4}{l o g_{7} 9}}

is equal to

Q. Find the value of the following expression:

81^{\frac{1}{{log}_{5} 3}} + 27^{{log}_{9} 36} + 3^{\frac{4}{{log}_{7} 9}}

Q. The value of

81^{(1 / {log}_{5} 3)} + 27^{{log}_{9} 36} + 3^{(4 / {log}_{7} 9)}

Q. The value of

81^{(\frac{1}{l o g_{5} 3})} + 27^{l o g_{9} 36} + 3^{\frac{4}{l o g_{7} 9}}

is equal to

Q. Find the value of the following:

81^{\frac{1}{{log}_{5} 3}}

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The value of 81(1log5 3)+27log9 36+34log7 9 is equal to

The correct option is D 890 81(1log5 3)+27log9 36+34log7 9 =34log3 5+33log3 3612+3log3 742 =3log3 54+3log3 3632+3log3 742 =54+3632+72=890

The value of $81^{(\frac{1}{l o g_{5} 3})} + 27^{l o g_{9} 36} + 3^{\frac{4}{l o g_{7} 9}}$ is equal to