## How do you write exponential notation?

In exponential notation, a number usually is expressed as a coefficient between one and ten times an integral power of ten, the exponent. To express a number in exponential notation, write it in the form: c × 10n, where c is a number between 1 and 10 (e.g. 1, 2.5, 6.3, 9.8) and n is an integer (e.g. 1, -3, 6, -2).

### What is the power rule for logarithms?

When a logarithmic term has an exponent, the logarithm power rule says that we can transfer the exponent to the front of the logarithm. Along with the product rule and the quotient rule, the logarithm power rule can be used for expanding and condensing logarithms.

#### How do you rewrite logs into natural logs?

If you need to convert between logarithms and natural logs, use the following two equations:

- log10(x) = ln(x) / ln(10)
- ln(x) = log10(x) / log10(e)

**How to solve the questions of logarithm?**

The questions of logarithm could be solved based on the properties, given below: Product rule: log b MN = log b M + log b N Quotient rule: log b M/N = log b M – log b N Power rule: log b M p = P log b M

**What is a logarithmic function?**

This is the Logarithmic Function: a is any value greater than 0, except 1 Apart from that there are two cases to look at: It has a Vertical Asymptote along the y-axis (x=0).

## How do you reverse the logarithmic function?

So the Logarithmic Function can be “reversed” by the Exponential Function. This is the “Natural” Logarithm Function: Where e is ” Eulers Number ” = 2.718281828459… etc So when you see ln (x), just remember it is the logarithmic function with base e: loge(x). At the point (e,1) the slope of the line is 1/e and the line is tangent to the curve.

### How do you solve problems 4-6 in logarithms?

For problems 4 – 6 write the expression in exponential form. For problems 7 – 12 determine the exact value of each of the following without using a calculator. For problems 13 – 15 write each of the following in terms of simpler logarithms