Answer:
x = 5/7
Step-by-step explanation:
Here, we want to get the value of x
Firstly, according to indices;
(a^m)^n = a^(m * n) = a^mn
Also;
a^m * a*n = a^(m + n)
a^0 = 1 (any number raised to zero as its power is 1)
And lastly;
a^m divided by a^n = a^(m-n)
So using these we can have;
7^4x = 7^( 2 + 3)/7^3x
7^4x = 7^5/7^3x
7^4x = 7^(5-3x)
Since we have the same bases, we have to equate the powers
4x = 5-3x
4x + 3x = 5
7x = 5
x = 5/7
