Advertisements
Advertisements
Question
Solve for x: `(5^5 xx 5^(-4) xx 5^x)/(5^12)` = 5−5
Sum
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
Simplify:
`[(15/12)^3]^4`
Simplify:
`(3^4)^-2`
Simplify:
`[(3/4)^6]^1`
Simplify:
`[(2/5)^-3]^2`
Write the following numbers using positive indices.
(y)−4
Using the power rule, (37)−2 = 35
Which of the following is not equal to `((-5)/4)^4`?
Which of the following is not equal to 1?
`(6/13)^10 ÷ [(6/13)^5]^2 = (6/13)^-`
34 > 43
