Advertisements
Advertisements
प्रश्न
Find x.
5x + 5x – 1 = 750
Advertisements
उत्तर
We have, 5x + 5x – 1 = 750
⇒ `5^x + 5^x/5 = 750` ...`[∵ a^-m = 1/a^m]`
⇒ `5^x (1 + 1/5) = 750`
⇒ `5^x (6/5) = 750`
⇒ `5^x = 750 xx 5/6`
⇒ 5x = 125 × 5
⇒ 5x = 625
⇒ 5x = 54
On comparing the power of 5, we get
x = 4
APPEARS IN
संबंधित प्रश्न
`(3/4)^5 ÷ (5/3)^5` is equal to ______.
For any two non-zero rational numbers x and y, x4 ÷ y4 is equal to ______.
a3 × a–10 = ______.
Find the value [4–1 + 3–1 + 6–2]–1 = ______.
`(-8/2)^0 = 0`
Find the value of x so that (2–1 + 4–1 + 6–1 + 8–1)x = 1
A new born bear weighs 4 kg. How many kilograms might a five year old bear weigh if its weight increases by the power of 2 in 5 years?
Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression 3–t. What fraction of substance remains after 7 half-lives?
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Simplify:
`[(4/3)^-2 - (3/4)^2]^((-2))`
