Advertisements
Advertisements
Question
Solve for x: `(2^(2x - 1))/(2^(x + 2))` = 4
Sum
Advertisements
Solution
`(2^(2x - 1))/(2^(x + 2))` = 4
`2^(2x – 1 – (x + 2))` = 22
`2^(2x – 1 – x – 2)` = 22
`2^(2x – 3)` = 22
Equating the powers of the same base 2.
x – 3 = 2
x – 3 + 3 = 2 + 3
x = 5
shaalaa.com
Is there an error in this question or solution?
Chapter 1: Numbers - Exercise 1.6 [Page 45]
APPEARS IN
RELATED QUESTIONS
Using laws of exponents, simplify and write the answer in exponential form:
(34)3
Simplify:
`[(15/12)^3]^4`
Simplify:
`((2/5)^-2)^-3`
Simplify:
`[(2/3)^-4]^5`
Write the following number using positive indices.
`(2/7)^-2`
Solve: `((2/5)^(-2))^3`.
Solve: `(7^(- 2))^(-5)`
Using the power rule, (37)−2 = 35
If 2m – 1 + 2m + 1 = 640, then find m
Which of the following is not equal to 1?
