Rewrite 36=729 as a logarithmic equation.(1 point)
Responses
log6729=3
log subscript 6 baseline 729 equals 3
log7296=3
log subscript 729 baseline 6 equals 3
log36=729
log subscript 3 baseline 6 equals 729
log3729=6
log subscript 36 baseline 729 equals 6
The solution to the exponential equation 17/2(2)x=272 can be found without the use of an over/under table as the solution is an integer value. Find the solution.(1 point)
Responses
The solution is x=8.
The solution is x equals 8.
The solution is x=5.
The solution is x equals 5 .
The solution is x=11.
The solution is x equals 11 .
The solution is x=11.17.
The solution is x=5.
one of these is the correct answer. Rewrite log 2 16=4 as an exponential equation. (1 point)
Responses
4^2=16
4 squared equals 16
16^2=4
16 squared equals 4
2^16=4
2 superscript 16 baseline equals 4
2^4=16
2^4=16
Explore the limitations of the values of b and x in equations of the form log b x=L by determining which logarithm is undefined. (1 point)
Responses
log 5 1
logarithm subscript 5 baseline 1
log 1/3 1/9
logarithm subscript Start Fraction 1 over 3 End Fraction baseline Start Fraction 1 over 9 End Fraction
log 2.5 6.25
log arithm subscript 2.5 baselines 6.25
log 5 0
The logarithm log 5 0 is undefined.
well 3^6 = 729
log base 3 ( 729) = log base 3 (3^6) = 6 * 1
or
log base 3 (729) =6
I apologize for the confusion. You are correct. The equation log base 3 (729) = 6 is correct, not log base 3 (729) = 3. The limitations of the values of b and x in equations of the form log b x=L are as follows:
1. The base (b) of the logarithm must be positive and not equal to 1. Otherwise, the logarithm would be undefined.
2. The argument (x) of the logarithm must be positive. If x is negative or zero, the logarithm would be undefined.
The exponential equation 8x=480
does not have an integer solution, yet the solution does lie between two integer values. Use a calculator to fill in the blanks of the following statement with the two integer values that x must lie between.
Hint: Put the smaller number in the first response field and the larger number in the second response field.
(1 point)
The number 8 must be raised to a power between the numbers blank
and blank
to equal the value of 480.