Convert to an exponential equation.
3=log5125
The exponential equation that represents 3=log5125 is 5125=3^x.
To convert the logarithmic equation 3 = log₅₁₂₅ into an exponential equation, you can use the definition of logarithm. The logarithmic equation can be rewritten as:
5³ = ₁₂₅
So, the exponential equation equivalent to the given logarithmic equation is 5 raised to the power of 3 equals 125:
5³ = 125
To convert a logarithmic equation into an exponential equation, you need to understand the basic relationship between logarithms and exponents.
In general, if we have the equation log base b of x = y, we can rewrite it as an exponential equation: b^y = x.
Let's apply this formula to your given equation: 3 = log base 5 of 125.
From the equation, we can see that the base of the logarithm is 5, the logarithm is 3, and the argument of the logarithm is 125.
Using the conversion formula, we can rewrite the equation as an exponential equation:
5^3 = 125
Therefore, the exponential equation equivalent to 3 = log base 5 of 125 is 5^3 = 125.