If 5x-3 x 32x-8 = 225 , then find the value of x .
Answers
Answered by
769
I think so your question is 5^x-3×3^2x-8=225
5^x-3. 3^2x-8 = 225
We can write 225 as follows:-
225 = 3 × 75
= 3 × 3 × 25
= 3 × 3 × 5 × 5
∴ 5^x-3. 3^2x-8 = 5²×3²
Compare both,
5^x-3=5² | 3^2x-8=3²
Bases are equal exponents must be equal.
x-3=2. | 2x-8=2
x=5. | 2x=10,x=5
Therefore,the value if x is 5
Hope it helps
5^x-3. 3^2x-8 = 225
We can write 225 as follows:-
225 = 3 × 75
= 3 × 3 × 25
= 3 × 3 × 5 × 5
∴ 5^x-3. 3^2x-8 = 5²×3²
Compare both,
5^x-3=5² | 3^2x-8=3²
Bases are equal exponents must be equal.
x-3=2. | 2x-8=2
x=5. | 2x=10,x=5
Therefore,the value if x is 5
Hope it helps
Answered by
512
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