If log 10 x - y- Then-A- log 10 x 2- y 2B- log 10 x2-2 yC- log 1000 x 2-3 y -2D- log 1000 x 2-2 y -3

The correct options are B log_10x^2 = 2y D log_1000x^2 =2y/3 log_10 x^2 = 2log_10 x=2y log_1000 x^2 =2.log_10^3 x=2/3.log_10 x=2y/3 So, options B and D are co ...

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

Byju's Answer

Standard IX

Mathematics

Logarithms

If log 10 x =...

Question

If $l o g_{10} x = y$ . Then,

$l o g_{10} x^{2} = y^{2}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$l o g_{10} x^{2} = 2 y$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$l o g_{1000} x^{2} = \frac{3 y}{2}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$l o g_{1000} x^{2} = \frac{2 y}{3}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct options are
B
$l o g_{10} x^{2} = 2 y$

D
$l o g_{1000} x^{2} = \frac{2 y}{3}$

$l o g_{10} x^{2} = 2 l o g_{10} x = 2 y$

$l o g_{1000} x^{2} = 2. l o g_{10^{3}} x = \frac{2}{3} . l o g_{10} x = \frac{2 y}{3}$

So, options B and D are correct.

Suggest Corrections

Similar questions

If $l o g_{10} x = y$ , then which of the following options are correct?

Q. If

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

is equal to

Q. If

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

is equal to

Q. If

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

is equal to

Q. If

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

is equal to

Join BYJU'S Learning Program

If log10 x=y. Then,

The correct options are B log10x2=2y D log1000x2=2y3 log10 x2=2log10 x=2y log1000 x2=2.log103 x=23.log10 x=2y3 So, options B and D are correct.

If $l o g_{10} x = y$ . Then,

The correct options are
B
$l o g_{10} x^{2} = 2 y$

D
$l o g_{1000} x^{2} = \frac{2 y}{3}$

$l o g_{10} x^{2} = 2 l o g_{10} x = 2 y$

$l o g_{1000} x^{2} = 2. l o g_{10^{3}} x = \frac{2}{3} . l o g_{10} x = \frac{2 y}{3}$

So, options B and D are correct.