Question

if 2 log 5 + 1/2 log 9 - log 3 = log x then find the value of x

Answer 1

I don't know this question answer. I'm sorry.

Answer 2

Answer:

x = 25

Step-by-step explanation:

Hi,

Given 2 ㏒ 5 + 1/2 ㏒ 9 - log 3 = log x,

Here , Since we know that a*㏒ y = ㏒ yᵃ, we can write

2 ㏒ 5 = ㏒ 5² = ㏒ 25 and

1/2 ㏒ 9 = log 9¹/² = ㏒ 3

So, given expression will become

㏒ 25 + ㏒ 3 - ㏒ 3 = ㏒ x

⇒ ㏒ 25 = ㏒ x

Re arranging the terms, we get

㏒ x = ㏒ 25

Since both the logarithms, are equal, their numbers

should be  equal,

hence x = 25

Hope, it helps !