If 8^a = 16^b, then the ratio of a to b is _____?
- 1/2
- 4/3
- 3/4
- None of these
Explanation
8^𝑎 = 16^𝑏
We can rewrite 16 as 2^4, so:
(2^3)^𝑎 = (2^4)^𝑏
Using the power rule (a^m)^n = a^(mn), we get:
2^(3𝑎) = 2^(4𝑏)
Since the bases are equal (both are 2), we can equate the exponents:
3𝑎 = 4𝑏
Now, divide both sides by 3𝑏:
𝑎/𝑏 = 4/3
So, the ratio of 𝑎 to 𝑏 is 4:3 or 4/3.
Related MCQs
- (x+5)(x−4)/(x−2)(x+2)
- x+5/x+2
- x−4/x−2
- x+5/x−2
اس سوال کو وضاحت کے ساتھ پڑھیں
- 20
- 25
- 30
- 35
اس سوال کو وضاحت کے ساتھ پڑھیں
- 3
- -3
- -4
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
