SOLUTION: 1. Solve for x: {{{ 2log_64(3x-2)=1/3 }}} 2. Write without logarithms and negative exponents: {{{ 2log_3root(3,81)+e^(-4ln(t)) }}} 3. Solve equation: x^(1/2)+3x^(1/4)=10 4

Question 969212: 1. Solve for x:
2. Write without logarithms and negative exponents:
3. Solve equation: x^(1/2)+3x^(1/4)=10
4. find domain
Thank you!!!!
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Interesting problems. Here is a way to deal with #3.

Let . This means .

discriminant is .

or

Substitute back.
or
OR .

Just a start in attempting #2:

...think what you can do with that last term with e....
...work with the exponent.

, you need to recognize the rule of logarithms used in the step.
Now recognize ln() function and e^() function are inverses of each other.

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