MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Quantitative Aptitude

Functions

If log 10 bas...

Question

If $l o g_{10} (b a s e x) = 10 l o g 4 (b a s e 100)$ , then x equals

Open in App

Solution

$l o g_{x} 10 = 10 l o g_{100} 4$
Apply log rule, $a = l o g_{b} (b^{a}) 10 l o g_{100} (4) = l o g_{x} (x^{10 l o g 100 (4)}) = l o g_{x} (x)^{2} S o, l o g_{x} 10 = l o g_{x} x^{2} 10 = x^{2} x = \sqrt{10}$

Suggest Corrections

thumbs-up

4

Similar questions

{log}_{10} [\frac{1}{2^{x} + x - 1}] = x [{log}_{10} 5 - 1]

x

y = {log}_{10} x + {log}_{x} 10 + {log}_{x} x + {log}_{10} 10

\frac{d y}{d x}

l o g_{10} x = y t h e n l o g_{1000} x^{2}

{log}_{10} [\frac{1}{2^{x} + x - 1}] = x [{log}_{10} 5 - 1]

x

0 < x < \frac{π}{2}

cos x = \frac{3}{\sqrt{10}}

, then the value of

{log}_{10} sin x + {log}_{10} cos x + {log}_{10} tan x

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Functions

QUANTITATIVE APTITUDE

Watch in App

explore_more_icon

Explore more

Other Quantitative Aptitude

Join BYJU'S Learning Program

CrossIcon