CONVERT TO AN EXPONENTIAL EQUATION.

Question

a) lnx=4

 

 

b)c=logVa b

Answer 1

From log rules you know that the base b logarithm of a number is the exponent that we need to raise the base in order to get the number. So,

 

If y=b^x  then X=log_b^y    

 example, if 2⁴=16 then the log₂16=4  

 

Now, natural log has it's base, e, to the function. So,

 

If y=e^x  then x=log_ey  which is the same as x=ln y

 an example where ln4=x would mean the  log_e4=x  and it's exponential equation would be: e^x=4  

 

e is the base, x is your exponent and 4 is your y. 

 

Identify your base, exponent, and your y. Then rewrite the whole thing set to your y.

 

 

The answer to your a) lnx=4, is:  x=e⁴

 

Good luck :)