SOLUTION: 3^x=40 e^0.04t=1500 please help me solve these... if possible...i need good step by step process

Question 143204: 3^x=40
e^0.04t=1500
please help me solve these... if possible...i need good step by step process

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Use logs
Given:
Take the log of both sides

When using logs, if the term inside parens is raised to a power, then your can 'bring the power down' as a multiplier.

Now get out your handy calculator and find log(3) and log(40)

Now solve for x as a one step algebra simplification

Finally, check your answer using a calculator. Does 3^3.3576 = 40? Close enough!
For the second problem, use logs again. Except this time, use natural log (ln)
Given:
Take the ln of both sides

The ln of a power of e, it just the power.

Whip out your calculator and find ln(1500) (somebody help that man!)

Check your answer using the calculator. Does it check out? You bet it does,

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