# Tutor profile: Lydia M.

## Questions

### Subject: Pre-Calculus

Use logarithms to solve for x: 3^x = 5 Round to 4 decimal places

Step 1: Rewrite the equation with a base raised to a power on one side 3^x = 5 Step 2: Take the natural log (or common log) of each side (Put a 'ln' in front of each side) ln (3^x) = ln (5) Step 3: Use a logarithmic property to remove the variable from the exponent x ln (3) = ln (5) Step 4: Solve for the variable [x ln (3)] / ln (3) = ln (5) x = [ln (5) / ln (3)] x = 1.4650

### Subject: Food Science

Ingredients on a food label are listed in ____ order, based on weight.

Descending

### Subject: Algebra

Perform the operations and simplify: (2a-b)^2

Step 1: Rewrite the equation as (2a-b) (2a-b) because it is multiplied by itself Step 2: Use the FOIL method (First, Outer, Inner, Last) to multiply all of the terms 4a^2 - 2ab - 2ab + b^2 Step 3: Combine like-terms and simplify 4a^2 - 4ab + b^2

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