Use the properties of logarithms to evaluate the expression.
1. 5^log(7x)
2. 10^x + 2
log(x)=x+2 or log(x)=x-2 ????
Simplify or evaluate? If you need to evaluate the expressions, x = ?
As Max stated, evaluate implies an = sign somewhere.
the qeustion says to evaluste, but itd supposed to say simplify
To evaluate the expression 5^log(7x), we can use the property of logarithms that states log base a of b raised to the power of c is equal to c times log base a of b.
1. 5^log(7x) = (7x)^log base 5.
For the second question, it seems like you are asking about the relationship between logarithms and exponentials. To clarify, we have two statements: log(x) = x + 2 and log(x) = x - 2.
To determine which statement is correct, we can convert both statements into exponential form and see which one holds true.
2.1 For the statement log(x) = x + 2:
Converting to exponential form, we have 10^(x+2) = x.
2.2 For the statement log(x) = x - 2:
Converting to exponential form, we have 10^(x-2) = x.
Now, we can use numerical methods, such as graphing or trial and error, to determine which statement is true.