Advertisements
Advertisements
Question
Solve for x: `(5^5 xx 5^(-4) xx 5^x)/(5^12)` = 5−5
Sum
Advertisements
Solution
`(5^5 xx 5^(-4) xx 5^x)/(5^12)` = 5−5
⇒ `(5^(5 - 4 + x))/(5^12)` = 5−5
⇒ `(5^(1 + x))/(5^12)` = 5−5
⇒ `5^(1 + x – 12)` = 5−5
⇒ `5^(x – 11)` = 5−5
Equating the powers of same base 5.
x – 11 = – 5
x – 11 + 11 = – 5 + 11
x = 6
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Using laws of exponents, simplify and write the answer in exponential form:
(34)3
Simplify:
`((1/7)^-3)^4`
Simplify:
`(3^4)^-2`
Simplify:
`((2/5)^-2)^-3`
Simplify:
`(6^5)^4`
Simplify:
`[(6/7)^5]^2`
Solve: `((2/5)^(-2))^3`.
If 2m – 1 + 2m + 1 = 640, then find m
How many zeros are there in 10010?
`[(7/11)^3]^4 = (7/11)^-`
