# If 5^(3x)=125 and 10^Y=0.001, Find X and Y. - Mathematics

If 5^(3x)=125 and 10^y=0.001, find x and y.

#### Solution

It is given that 5^(3x)=125 and 10^y=0.001.

Now,

5^(3x)=125

rArr5^(3x)=5^3

rArr3x = 3

x = 1

And,

10^y=0.001

rArr10^y=1/1000

rArr10^y=10^-3

⇒ y = -3

hence, the value of x and yare 1 and -3, respectively.

Concept: Laws of Exponents for Real Numbers
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.2 | Q 15 | Page 26