https://uploads.desmos.com/activitybuilder/dda35fbeb39cb9a15632c4f0e8152fb2 Can someone help me solve the four problems please

Answer 1

Hi Lindsey,

For #1, we are trying to solve for A where 16^A = 4.

If we remember that 16^(X/Y) = (^Y√16)^X, we can try to solve for X, Y that gives us 4.

By recognizing that 4² = 4 * 4 = 16, we can see that X = 1 and Y = 2.

16^1/2 = 4

For #2, we are trying to solve for B where log B = 4

If we remember that log_x B = 4 can be transformed into B = x⁴

Where x is 10 (because usually where a log symbol is used without a base, the base is 10 by default), we are trying to find B where B = 10⁴.

For #3, we are trying to solve for C and D where log_CD = 4

Remembering the same equation as above, log_CD = 4 can be transformed into D = C⁴.

In this case, we can pick any 2 values that satisfies this equation. If we use C = 10, D = 10⁴.

For #4, we are trying to solve for E where E²=4.

If we sqroot both sides of the equation, we can solve for E.

√(E²) = √4

E = √4 = 2.

Thanks,

- Aaron