Exponential and Logarithmic Calculator

In math exponential function is a function of ex, where e is the digit such to the significance ex the same its contain consequent.

For example,

`e^x` is an exponential function

In math logarithmic function is an inverse function of the expoential function.

`log_a (x)`

Use exponential and logarithmic calculator easily get an answer.

Basic Solving Exponential and Logarithmic Calculator: -

Enter the exponential equations then click the answer button. Perform the exponential operation and get the answer.Check the answer in manual calculation `3^(2x-1)`

`3^(2x-1) = (3^3)^x`

`= 3^3x`

If the base value is same equal to one another

2x-1  = 3x

-1 = 3x-2x

-1= x  (or)  x = -1

Calculator answer as 0.698970004336.

Example Problems for Exponential and Logarithmic Calculator: -

Problem 1:-

Find x in the equation `(1+(.10/12))^12x= 2`

Solution:-

`(1+(.10/12))^12x - 2`

Multiply Ln on both sides

`Ln(1+(.10/12))^12x = Ln(2)`

Simplify the equation

`12x Ln(1+(.10/12)) = Ln(2)`

`12x Ln(1+(.10/12))`

`x = (Ln(2))/(12Ln(1+.10/12))`

x = 6.9603

Using calculator to verify the answer.

Problem 2:-

Find x in the equation 400 = 5000 `(1- (4/4+e^(-0.002x)))`

Solution:-

Divide 5000 on both sides

0.08 = `(1- (4/4+e^(-0.002x)))`

Subtract `e^(-0.002x)` on above equation

0.092 = `4/(4+e^(0.002))`

Multiply 4+`(e^-0.002x)` on both sides

0.092 `(4+e^(0.002x))` = 4

Divide 0.92 on both sides

`(4+e^(0.002x))` = 4.34782608696

Subtract 4 on both sides

`e^(0.002x)` = 0.34782608696

Multiply Ln on both sides

`Ln(e^(0.002x)) = Ln (0.34782608696)`

Simplify the equations

-0.002xLn(e) = Ln (0.34782608696)

= -1.0560526

We know that Ln(e) = 1

Divide -0.002 on both sides

`x = (Ln(0.34782608696))/-0.002`

= 528.02633

Using calculator to verify the answer.



Problem 3:-

Find log 1000 verify the answer by using a calculator.

Solution:-

Expressing the given expression in scientific notation:

log 1,000 = log 103

Since 1,000 is the 3rd power of 10,

log 1,000 = 3

Using calculator to verify the answer.

Problem 4:-

Find log 0.0001 verify the answer by using a calculator.

Solution:-

Rewriting the given expression in scientific notation:

log 0.0001 = log 10–4

Since 0.0001 is –4th power of 10,

log 0.0001 = –4

Using calculator to verify the answer.