# Math Help - Easy - Restating Exponential Equations

1. ## Easy - Restating Exponential Equations

Restate each in exponential form:

1) $log_aa^3$

My work:

$a = a^3$

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2) $log_bb^ \frac {3}{2}$

My work:

$b = b^ \frac {3}{2}$

--

3) $log_kk^{\sqrt3}$

My work:

$k = k^{\sqrt3}$

--

4) $log_22^{x}$

My work:

$2 = 2^{x}$

Can someone check my work, and if it's wrong can you please tell me how to correct it?

2. This is just the application of the property $\log_aa=1$ & $\log a^b=b\cdot\log a.$

3. Originally Posted by Krizalid
This is just the application of the property $\log_aa=1$ & $\log a^b=b\cdot\log a.$
okay....can you check my answers then...?

4. Originally Posted by Macleef
okay....can you check my answers then...?
that was Krizalid's way of telling you you are wrong...on all of them. use his rules and try again

another rule that may come in handy, but that can be derived from the rules Krizalid gave is: $\log_aa^x = x$

you seem to be confused as to how to interpret logarithms. see post #4 here

5. Can you give me examples to demonstrate the rules?

6. Originally Posted by Jhevon
that was Krizalid's way of telling you you are wrong...on all of them. use his rules and try again

another rule that may come in handy, but that can be derived from the rules Krizalid gave is: $\log_aa^x = x$

you seem to be confused as to how to interpret logarithms. see post #4 here
I don't know how to simplify non numeric values with numeric exponents and vice versa...or do I just leave it the way it is?

ex.

$log_aa^3$

$a^{3} = a^{3} ???$

7. Originally Posted by Macleef
I don't know how to simplify non numeric values with numeric exponents and vice versa...or do I just leave it the way it is?

ex.

$log_aa^3$

$a^{3} = a^{3} ???$
$\log_aa^3 = 3 \log_a a = 3(1) = 3$ .........by the rules Krizalid gave you