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ACT Math: Intermediate Algebra: Drill 5, Problem 4. Which expression is equivalent?
- Intermediate Algebra / Logarithms
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Chinese Subtitled
- Foreign Language / Spanish Subtitled
- Algebra / Write expressions in equivalent forms to solve problems
- Algebra / Write expressions in equivalent forms to solve problems
- Algebra / Write expressions in equivalent forms to solve problems
- Intermediate Algebra / Rational, radical, and logarithmic expressions
Transcript
- 00:02
Try this shmoopy question on for size.
- 00:05
Which expression is equivalent to x cubed equals 48?
- 00:08
And here are the potential answers...
- 00:12
OKay, The most important part of this problem is understanding the relationship between logarithms
- 00:17
and exponents.
Full Transcript
- 00:21
If a to the b power equals x, then log base a of x...equals...b.
- 00:31
In this case, the base of the exponent is x, so the base of the logarithm must be x.
- 00:38
That leaves us with C or D. The exponent is 3...so we know the answer must be C.
- 00:42
Answer D would only be correct if we had x to the 48th power equals 3.
- 00:47
But we don't have that. So the answer is C
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