Solve Exponentials Using Logs

Solve for x using logs: 6^3x - 3 = 56

• 2.2757

• 1.3592

• 0.7586

• 0.5903

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)

Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1

Find the inverse of the function f(x)=5^(x+2)

• f^-1(x)=log₅(x-2)

• f^-1(x)=log₅(x)-2

• f^-1(x)=log₅(x)+2

• f^-1(x)=log₅(x+2)

Solving Exponential Equations Using Logarithms: Solve for x katex latex="e^{x+6}+5=7"

• -4.614

• -4.236

• -5.307

• -0.334

• 0.489

• 2.552

• 0.893

• 2.044

Solve the equation for x

• 1.6023

• 0.7122

• 0.6477

• 1.544

Solve the equation for x

• 585

• 3.169

• 0.792

• 1.084

Solve for x. Round your answer to three decimal places.

Use the common log to find how many hours it will take to reach 30,000 bacteria in the lab dish. Round answer to three decimal places.