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
Simplify:
`[(3/4)^6]^1`
Simplify:
`[(2/5)^-3]^2`
Write the following number using positive indices.
`(2/7)^-2`
Write the following numbers using positive indices.
`(1/6)^-3`
Solve for x: `(5^5 xx 5^(-4) xx 5^x)/(5^12)` = 5−5
If 2m – 1 + 2m + 1 = 640, then find m
How many zeros are there in 10010?
(–3)4 = –12
34 > 43
Arrange in ascending order:
25, 33, 23 × 2, (33)2, 35, 40, 23 × 31
