Exercise 75 Page 483

To solve the given logarithmic equation, we will rewrite it in exponential form using the definition of a logarithm. log_b x=y ⇔ x= b^yThis definition tells us how to rewrite the logarithm equivalent of y in exponential form. The argument x is equal to b raised to the power of y. Note that if the base of a logarithm is not stated, it means it is ten. Therefore, we know that log 5x = log_(10) 3x. log_(10) 3x =4 ⇔ 3x= 10^4 We can see above that 4 is the exponent to which 10 must be raised to obtain 3x. Now, let's solve our equation.

3x=10^4

CalcPow

Calculate power

3x=10 000

DivEqn

.LHS /3.=.RHS /3.

x=10 000/3

UseCalc

Use a calculator

3333.3