Evaluating Logarithmic Expressions Answers
Which equation can you use to evaluate log61,296?
Which equation can you use to evaluate ?
Simplify:=
-3
Evaluate: log1212
Match each logarithm to its value. A. Logarithm ABC✔ D is equal to –3.
Which equation(s) have x = 2 as the solution?
Solve: log4(7t + 2) = 2t =
-0.2047, 0.6947
A student solved log4(2x – 12) = 3, as shown.Step 1: 2x – 12 = 34Step 2: 2x – 12 = 81Step 4: 2x = 93Step 5: x = 46.5 Explain the error and find the correct solution.
The error is in Step 1: the logarithmic equation was translated incorrectly. The base 4 should be raised to the exponent 3, so 2x − 12 = 4³ = 64. Then 2x = 76, and x = 38.
Find the intensity in decibels [I(dB)] for each value of I.
Which equation can you use to evaluate log61,296?
Evaluate: log1212
Match each logarithm to its value. A. Logarithm X ABC✔ D is equal to –3.
Which equation(s) have x = 2 as the solution?
Solve: logx343 = 3x = ⇒ 7
B
Solve: log4(7t + 2) = 2t = ⇒ 2
B
The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I(dB) = 10log I I0 where I is the intensity of a given sound, and I0 is the threshold of hearing intensity. The human ear is just able to notice a 1 dB difference in sound intensity.
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