Inverse functions
Solving Exponential Equations
Logarithms
Simplifying Radical Expressions
Find Root of a Number
100
The line of reflection for a function and its inverse is.....
y=x
100
Find the real solutions of the equation. Round your answer to two decimal places when appropriate. x^5 = -117
-2.59
100
Rewrite the equation in logarithmic form. 4^0 = 1
log 4 1 = 0 (log base 4 of 1 equals 0)
100
Write the expression in simplest form. √320
8√5 or 17.89
100
Find the real 3rd root of -8.
-2
200
What are the 3 steps to finding the inverse of a function?
Step 1. Replace f(x) with y. Step 2. Switch x and y. Step 3. Solve for y.
200
Find the real solutions of the equation. Round your answer to two decimal places when appropriate. 5x^6 = 30
+ or - 1.35
200
Rewrite in logarithmic form. 5^2 = 1/25
log 5 1/25 = 2 (log base 5 of 1/25 = 2)
200
Write the expression in simplest form. √54
3√6 or 7.35
200
Find the real 6th root of 15,625.
+ or - 5
300
Find the inverse of the function. f(x) = -2x
f inverse = -1/2x
300
Find the real solutions of the equation. Round your answer to two decimal places when appropriate. 4x^4 = 48
+ or - 1.86
300
Evaluate the logarithm. log 25 5
1/2
300
Write the expression in simplest form. √64s^12
8s^6
300
Find the real 5th root of 0.
0
400
Find the inverse of the function. f(x) = -3x - 7
f inverse = x/-3 + 7
400
Find the real solutions of the equation. Round your answer to two decimal places when appropriate. (x + 7)^6 = 729
-4 and -10
400
Simplify the logarithm. log 100^x
2x
400
Write the expression in simplest form. √25p^12q^10
5p^6q^5
400
Find the 7th root of 6246. Round your answer to two decimal places if necessary.
3.49
500
Find the inverse of the function. f(x) = 7x + 5
f inverse = x/7 - 5
500
Find the real solutions of the equation. Round your answer to two decimal places when appropriate. (x - 10)^4 = 625
15 and 5
500
Simplify the natural log. ln e^3x
3x
500
Write the expression in simplest form. √9p^24q^10
3p^12q^5
500
Find the 6th root of 46,656. Round your answer to two decimal places if necessary.
+ or - 6
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