Information
You have already completed the quiz before. Hence you can not start it again.
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
-
Question 1 of 4
Solve for xx
x=log464x=log464
Incorrect
Loaded: 0%
Progress: 0%
0:00
Logarithmic Form
logaN=xlogaN=x
Convert the equation to exponent form by first identifying the components
logaNlogaN |
== |
xx |
log464log464 |
== |
xx |
NN |
== |
6464 |
aa |
== |
44 |
xx |
== |
xx |
Substitute the components into the exponent form
Make sure that only xx is on the left side
6464 |
== |
4x4x |
4343 |
== |
4x4x |
64=4364=43 |
33 |
== |
xx |
Equate the exponents since the bases are equal |
xx |
== |
33 |
-
Question 2 of 4
Solve for xx
x=log81x=log81
Incorrect
Loaded: 0%
Progress: 0%
0:00
Logarithmic Form
logaN=xlogaN=x
Convert the equation to exponent form by first identifying the components
logaNlogaN |
== |
xx |
|
log81log81 |
== |
xx |
NN |
== |
11 |
|
aa |
== |
88 |
xx |
== |
xx |
Substitute the components into the exponent form
Make sure that only xx is on the left side
To make the equation correct, we need to raise 88 to make its value 11
Any number raised to 00 is equal to 11. Hence, x=0x=0
-
Question 3 of 4
Solve for xx
x=log6(136)x=log6(136)
Incorrect
Loaded: 0%
Progress: 0%
0:00
Logarithmic Form
logaN=xlogaN=x
Convert the equation to exponent form by first identifying the components
logaNlogaN |
== |
xx |
|
log6136log6136 |
== |
xx |
NN |
== |
136136 |
|
aa |
== |
66 |
x |
= |
x |
Substitute the components into the exponent form
Make sure that only x is on the left side
136 |
= |
6x |
|
162 |
= |
6x |
36=62 |
|
6-2 |
= |
6x |
Reciprocate 162 |
-2 |
= |
x |
Equate the exponents since the bases are equal |
x |
= |
-2 |
-
Question 4 of 4
Incorrect
Loaded: 0%
Progress: 0%
0:00
Convert the equation to exponent form by first identifying the components
Substitute the components into the exponent form
Make sure that only x is on the left side
164 |
= |
2x |
|
126 |
= |
2x |
64=26 |
|
2-6 |
= |
2x |
Reciprocate 126 |
-6 |
= |
x |
Equate the exponents since the bases are equal |
x |
= |
-6 |