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
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
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)
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
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