Question

(17)3.5 x (17)? = 178
A.2.29
B.2.75
C.4.25
D.4.5

Answer 1

Let (17)3.5 x (17)x = 178.
Then, (17)3.5 + x = 178.
∴ 3.5 + x = 8
⇒ x = (8 - 3.5)
⇒ x = 4.5
so correct answer is option :- D

Answer 2

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

$(17)^{3.5}\times 17^{x}=17^8$

We need to find the value of x:

As we know the law of exponents:

$a^m\times a^n=a^{m+n}$

Here, a = 17

m = 3.5

n = x

So, it becomes,

$17^{3.5}\times 17^x=17^8\\\\17^{3.5+x}=17^8\\\\3.5+x=8\\\\x=8-3.5\\\\x=4.5$

Hence, Option 'D' is correct.