SOLUTION: please help me with this equation.thanks so much If log 2=.3010 log3=.4771, find the numerical value of x in 3^x+2=405.

SOLUTION: please help me with this equation.thanks so much If log 2=.3010 log3=.4771, find the numerical value of x in 3^x+2=405.

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Question 74031: please help me with this equation.thanks so much
If log 2=.3010 log3=.4771, find the numerical value of x in 3^x+2=405.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Subtract 2 from both sides
Take the log base 3 of both sides

Use the change of base formula

Remember the default base is 10
Use given value log3=.4771 and evaluate log 403
Approximately
Hope this helps.

Check:
Plug in x=5.46071

Which is close but off due to roundoff errors.

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