ACT Math · Exponential and logarithmic functions
What is (4) + (25)?
What is ?
Answer and explanation
Answer: J: 2
The product rule for logarithms says . So . A common logarithm has base , and , so , choice J. Choice H () adds the numbers inside the logarithms, , which is not a valid rule. Choice G () is the argument of the logarithm rather than its value. Choice F () would be . The product rule turns a sum of logarithms into the logarithm of a product, so look for numbers that multiply to a power of the base.
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