[GMAT math practice question]
If 5m=25^{2n}, what is the value of m, in terms of n?
A. m=5^{3n-2}
B. m=25n
C. m=5^{4n-1}
D. m=5^{2n-1}
E. m=5n
If 5m=25^{2n}, what is the value of m, in terms of n?
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- Max@Math Revolution
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Let n = 1/2.Max@Math Revolution wrote:[GMAT math practice question]
If 5m=25^{2n}, what is the value of m, in terms of n?
A. m=5^{3n-2}
B. m=25n
C. m=5^{4n-1}
D. m=5^{2n-1}
E. m=5n
Substituting n = 1/2 into 5m = 25^(2n), we get:
5m = 25¹
m = 5.
The question stem asks for the value of m (5).
Now plug n = 1/2 into the answers to see which yields the target value of 5.
Only C works:
m = 5^(4n-1) = 5¹ = 5.
The correct answer is C.
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Given: 5m = 25^(2n)Max@Math Revolution wrote:[GMAT math practice question]
If 5m=25^{2n}, what is the value of m, in terms of n?
A. m=5^{3n-2}
B. m=25n
C. m=5^{4n-1}
D. m=5^{2n-1}
E. m=5n
Rewrite 25 as 5² to get: 5m = (5²)^(2n)
Apply power of a power law to get: 5m = 5^(4n)
Divide both sides by 5 to get: m = [5^(4n)]/5
Since 5 = 5¹, we get: : m = [5^(4n)]/(5¹)
Apply quotient law to get: m = 5^(4n - 1)
Answer: C
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- Scott@TargetTestPrep
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Simplifying the equation we have:Max@Math Revolution wrote:[GMAT math practice question]
If 5m=25^{2n}, what is the value of m, in terms of n?
A. m=5^{3n-2}
B. m=25n
C. m=5^{4n-1}
D. m=5^{2n-1}
E. m=5n
5m = 25^2n
5m = 5^4n
m = 5^4n/5
m = 5^(4n - 1)
Answer: C
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- Max@Math Revolution
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=>
$$5m=25^{2n}$$
=> $$5m=\left(5^2\right)^{2n}=5^{4n}$$
=> $$m=5^{4n-1}$$
Therefore, C is the answer.
Answer C
$$5m=25^{2n}$$
=> $$5m=\left(5^2\right)^{2n}=5^{4n}$$
=> $$m=5^{4n-1}$$
Therefore, C is the answer.
Answer C
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