Find the value of 2, if 57-3 X 32-8 = 225.

1.	Find the value of 2, if 57-3 X 32-8 = 225.
Answer» 5^x-3. 3^2x-8 = 225We can write 225 as follows:-225 = 3 × 75= 3 × 3 × 25= 3 × 3 × 5 × 5∴ 5^x-3. 3^2x-8 = 5²×3²Compare both,5^x-3=5² \| 3^2x-8=3²Bases are equal exponents must be equal.x-3=2. \| 2x-8=2x=5. \| 2x=10,x=5 Therefore,the value if x is 5

Answer»

5^x-3. 3^2x-8 = 225We can write 225 as follows:-225 = 3 × 75= 3 × 3 × 25= 3 × 3 × 5 × 5∴ 5^x-3. 3^2x-8 = 5²×3²Compare both,5^x-3=5² | 3^2x-8=3²Bases are equal exponents must be equal.x-3=2. | 2x-8=2x=5. | 2x=10,x=5

Therefore,the value if x is 5

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Find the value of 2, if 57-3 X 32-8 = 225.

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