When we evaluate a logarithm, we are finding the exponent, or power x, that the base b, needs to be raised so that it equals the argument m. The power is also known as the exponent.

$5^2 = 25 \to \log_5(25) = 2$

The value of b must be positive and not equal to 1

The value of m must be positive

If 0 < m < 1, then x < 0

A logarithmic equation is an equation with a variable that includes one or more logarithms.

===============================================

Explanation:

Logarithms, or log for short, basically undo what exponents do.

When going from $5^2 = 25$ to $\log_5(25) = 2$ , we have isolated the exponent.

More generally, we have $b^x = m$ turn into $\log_b(m) = x$

When using the change of base formula, notice how

$\log_b(m) = \frac{\log(m)}{\log(b)}$

If b = 1, then log(b) = log(1) = 0, meaning we have a division by zero error. So this is why $b \ne 1$

We need b > 0 as well because the domain of y = log(x) is the set of positive real numbers. So this is why m > 0 also.

5 0

2 years ago

A picture is 6 inches longer than it is wide and has an area of 167

Scorpion4ik [409]

Answer:

A) L = W + 6

B) L * W = 167 OR L = 167 / W

Substituting B) into A)

167 / W = W + 6

Multiplying both sides by "W" we get

167 = W^2 + 6W

W^2 + 6W -167

Solving by the quadratic formula

Width = 10.266

Length = 16.266

Step-by-step explanation:

5 0

3 years ago

What's the equivalent algebraic expression?

densk [106]

-10c+70, just distribute the the -10 to everything in the expression

3 0

3 years ago

A set of math tests is normally distributed

Masteriza [31]

Answer:

wat is the actual question for this??

Step-by-step explanation:

6 0

3 years ago