Log x=log25+log4
log(x) = log(25*4)
x = 25*4 = 100
To solve the equation log x = log 25 + log 4, we can use the properties of logarithms to simplify the expression.
1. Begin with the equation: log x = log 25 + log 4
2. Apply the addition property of logarithms: log x = log (25 * 4)
3. Simplify the expression: log x = log 100
4. Use the definition of logarithms to rewrite the equation: x = 100
Therefore, the solution to the equation log x = log 25 + log 4 is x = 100.
To solve the equation log x = log 25 + log 4, we can use the properties of logarithms.
First, we need to apply the rule of logarithmic addition: log a + log b = log (a * b). Using this rule, we can rewrite the equation as log x = log (25 * 4).
Next, we simplify the right side of the equation: log (25 * 4) = log 100.
Now, we have log x = log 100. To solve for x, we apply the inverse operation of logarithm, which is exponential function. In this case, we can express it as 10^log x = 10^log 100.
Since logarithm and exponential functions are inverse operations of each other, 10^log x results in x, and 10^log 100 simplifies to 100.
So, x = 100.