#### Write the logarithmic equation in exponential form

## How do you write an equation in equivalent logarithmic form?

Every equation that is in exponential form has an equivalent logarithmic form, and vice versa. Both equations have a ‘b,’ the base, an x, and a y. These two equations are equivalent, just like these two equations are equivalent: y = x + 9 and y – 9 = x. Using algebra, you can get from one to the other.

## What is exponential form?

exponential form. • a way of representing repeated multiplications of the same number. by writing the number as a base with the number of repeats. written as a small number to its upper right.

## What are the logarithm rules?

Basic rules for logarithms

Rule or special case | Formula |
---|---|

Product | ln(xy)=ln(x)+ln(y) |

Quotient | ln(x/y)=ln(x)−ln(y) |

Log of power | ln(xy)=yln(x) |

Log of e | ln(e)=1 |

## How do you write scientific notation?

The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.

## What is exponential form for logs?

Logarithmic functions are inverses of exponential functions . So, a log is an exponent ! y=logbx if and only if by=x for all x>0 and 0

## What is standard form in math?

Standard form is a way of writing down very large or very small numbers easily. So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form. Small numbers can also be written in standard form.

## What is exponential expression example?

Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32 it can be written as 2 × 2 × 2 × 2 × 2=25, where 2 is the “base” and 5 is the “exponent”. We read this expression as “two to the fifth power”.

## What is exponential graph?

In an exponential graph, the “rate of change” increases (or decreases) across the graph. Characteristics of Exponential Functions. The graphs of functions of the form y = b^{x} have certain characteristics in common. Exponential functions are one-to-one functions. • graph crosses the y-axis at (0,1)