Exponential function to base 10
Calculator and formula for calculating the power value of base 10
Exponential function calculator
What is calculated?
This function computes the power value of the given exponent for base 10. The argument must be a real number.
Exponential function info
Properties
Exponential function base 10:
- Base is constant (10)
- Variable is in the exponent
- Strictly increasing
- Range: (0, ∞)
Note: In the exponential function the variable appears in the exponent, unlike the general power function.
Examples
10⁰ = 1
Any number to the power of 0 equals 1
Any number to the power of 0 equals 1
10¹ = 10
Base to the power 1 equals the base
Base to the power 1 equals the base
10² = 100
Square of 10
Square of 10
10³ = 1000
Cube of 10
Cube of 10
Formula of the exponential function
General form
\[f(x) = 10^x\]
Exponential function with base 10
Rewrite with e
\[10^x = e^{x \cdot \ln(10)}\]
Using natural exponential
Logarithm relation
\[\log_{10}(10^x) = x\]
Inverse function
Power laws
\[10^a \cdot 10^b = 10^{a+b}\]
Multiplication of powers
Calculation example
Example: calculate 10⁴
\[10^4 = 10 \times 10 \times 10 \times 10 = 10000\]
The base 10 is multiplied by itself 4 times.
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