Problemas
Logarithmic and Exponential Equations Score: 3/10 Answered: 3/10 square Solve for 2: 2^x=23 The exact solution (using logarithms) is: z = x=square The approximate answer,rounded to 4 decimal places, is: z = x=square
Roztwór
Eliana
professionell · Tutor durante 6 años
4.7
(240 Votos)
Respuesta
To solve the equation
, we can take the logarithm of both sides of the equation. Taking the logarithm of both sides, we get:
Using the property of logarithms that
, we can simplify the left side of the equation:
Now, we can solve for
by dividing both sides of the equation by
:
This is the exact solution using logarithms. To find the approximate answer, we can use a calculator to evaluate the expression:
Therefore, the exact solution is
, and the approximate answer, rounded to 4 decimal places, is
.