Which of the following correctly changes log 25 200 to an equivalent expression? (1 point)
Responses
log 200/log 25
Start Fraction logarithm 200 over logarithm 25 End Fraction
log 200/log 5 25
Start Fraction logarithm 200 over logarithm subscript 5 baseline 25 End Fraction
log 25/log 200
Start Fraction logarithm 25 over logarithm 200 End Fraction
log 200/ln 25
9 answers
log 200/log 25
Identify the expression equivalent to log 2 128/log 2 16.
(1 point)
Responses
log 16 128
logarithm subscript 16 baselines 128
log 2 128
logarithm subscript 2 baseline 128
log 4 128
logarithm subscript 4 baseline 128
log 128 16
logarithm subscript 128 baselines 16
(1 point)
Responses
log 16 128
logarithm subscript 16 baselines 128
log 2 128
logarithm subscript 2 baseline 128
log 4 128
logarithm subscript 4 baseline 128
log 128 16
logarithm subscript 128 baselines 16
logarithm subscript 4 baseline 128
Using the change formula, determine which of the following logarithms has the same value as log 64 (1/16). (1 point)
Responses
log 36 (1/216)
logarithm subscript 36 baseline left parenthesis Start Fraction 1 over 216 End Fraction right parenthesis
log 27 (1/9)
logarithm subscript 27 baselines left parenthesis Start Fraction 1 over 9 End Fraction right parenthesis
log 1/2 (1/8)
logarithm subscript Start Fraction 1 over 2 End Fraction baseline left parenthesis Start Fraction 1 over 8 End Fraction right parenthesis
log 16 (1/64)
Responses
log 36 (1/216)
logarithm subscript 36 baseline left parenthesis Start Fraction 1 over 216 End Fraction right parenthesis
log 27 (1/9)
logarithm subscript 27 baselines left parenthesis Start Fraction 1 over 9 End Fraction right parenthesis
log 1/2 (1/8)
logarithm subscript Start Fraction 1 over 2 End Fraction baseline left parenthesis Start Fraction 1 over 8 End Fraction right parenthesis
log 16 (1/64)
logarithm subscript 27 baselines left parenthesis Start Fraction 1 over 9 End Fraction right parenthesis
Which expression shows log 4 35 rewritten using the change of base formula? (1 point)
Responses
log 35/4
logarithm Start Fraction 35 over 4 End Fraction
log 4/log 35
Start Fraction logarithm 4 over logarithm 35 End Fraction
log 4/35
logarithm Start Fraction 4 over 35 End Fraction
log 35/log 4
Responses
log 35/4
logarithm Start Fraction 35 over 4 End Fraction
log 4/log 35
Start Fraction logarithm 4 over logarithm 35 End Fraction
log 4/35
logarithm Start Fraction 4 over 35 End Fraction
log 35/log 4
log 35/log 4
What value is equivalent to log 4 2.1 to the nearest thousandth? Use the change of base formula to determine your answer. (1 point)
Responses
0.287
0.287
1.868
1.868
0.081
0.081
0.535
Responses
0.287
0.287
1.868
1.868
0.081
0.081
0.535
0.287