# Logarithms and Exponential Functions

Logarithmic Functions Exercises

# Logarithmic Functions Exercises

### Example 1

Solve the following exponential equation for y: 7y + 1 = 3x + 3

### Example 2

Find x in the following exponential equation. Do not simplify to decimals: 4 × (ex) + 10 = 20

### Example 3

What value of x fulfills the following equation: log10 10 = x

### Example 4

What value of x fulfills the following equation: log3 1 = x

### Example 5

Is the following logarithmic equation valid for any one value of x: log10 x = -3

### Example 6

Simplify the following exponential equation for y: ey + 4 – 15 = x2

### Example 7

Solve the logarithmic equation for . Do not simplify to decimals.

### Example 8

Evaluate the following log equation for x = 3, to three decimal places: y = log3 (x2) + log3(2x + 3) + log38x

### Example 9

Evaluate the following log equation for x = 5, to three decimal places: y = ln3x + lnex

### Example 10

Evaluate the following log equation to three decimal places using only base-10 logarithmic functions: y = log3 13

### Example 11

Write the following logarithmic equation in base 10 form: log417

### Example 12

Write the following logarithmic equation in base 10 form: ln 4x