CPM Homework Help : CALC Problem 5-131

WEI KIT RETURNS!
Wei Kit sure loves exponents! He's decided to rewrite all the numbers around him so that they have an exponent. For example, instead of writing the number 2, he writes:
He insists he can also write the number 2 as and ! Homework Help ✎
1. Explain why Wei Kit's expressions all equal 2.
2. Use Wei Kit's method to rewrite the number 9 in two different ways.
3. Simplify this expression:
4. How could Wei Kit rewrite 2^xso that it has a base of 7?

Hint (a):

Consider 3^log₃x

First consider just the exponent: It can be translated as '3 to the power of something that makes 3 become x.'
Now consider the entire expression: 3 is being raised to that 'something' that makes 3 become x...
Consequently, the expression = x.

Answer (b):

One way: 9 = 3^log₃9
Find another way.

Hint (c):

Refer to previous hints.

Hint (d):

One way: 7 = 7^??????