If log xy-200 and log 2 x-10- then the value ofyis-A- 220B- 0 C- 22000D- 2200

The correct option is C 22000log_2 x = 10 ⇒ x = 2^10 ⇒ log_x y = 200 ⇒ y = x^200 ⇒ y = (2^10)^200 [put value of x] ⇒ y = 2^2000 ...

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Fundamental Laws of Logarithms

If log xy=200...

Question

If log $x^{y} = 200 a n d l o g_{2} x = 10$ , then the value ofyis:

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l o g_{x} y = 100

l o g_{2} x = 10

If $l o g_{x} y = 100$ and $l o g_{2} x = 10$ , then the value of y is

{log}_{x} y = 100 a n d {log}_{2} x = 10

{log}_{x} x - {log}_{x} y = a, {log}_{x} y - {log}_{x} z = b & {log}_{x} z - {log}_{x} x = C

{(\frac{x}{y})}^{b - c} \times {(\frac{y}{z})}^{c - a} \times {(\frac{z}{x})}^{a - b}

log x y = log \frac{x}{y} + 2 log 2 = 2

x > 0

y > 0

x

y

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