Exam 14: Exponential and Logarithmic Functions

The Richter number is the common logarithm of the ratio of the intensity of the earthquake to the reference intensity.

The graphs of $f ( x ) = 4 ^ { x }$ and $f ( x ) = \left( \frac { 1 } { 4 } \right) ^ { x }$ are reflections of each other across the x axis.

Solve the logarithmic equation log ( x ) + log ( x + 48 ) = 2 and express irrational solutions in lowest radical form.

Solve the exponential equation 8 ^{x - 4} = 35 and express approximate solutions to the nearest hundredth.

Find f - -1 ( x ). f ( x ) = $-$ 8 x $-$ 7

Rueben has a finance plan with the furniture store where the $4,990 he spent accrues finance charges at an annual interest rate of 10.3% compounded monthly for 4 years before he starts to make payments. What will be the balance on the account at the he must begin paying off the balance? Please round the answer to the nearest hundredth. $__________

Solve the logarithmic equation log ( x ) + log ( x + 48 ) = 2 and express irrational solutions in lowest radical form.

Use the formula $A = p \left( 1 + \frac { r } { n } \right) ^ { n t }$ to find the total amount of money accumulated at the end of the indicated time period for the following investment: $3,000 for 3 years at 2.5% compounded quarterly. Please round the answer to the nearest cent. $__________