Question

Which expressions are equivalent to ln x 2 ln 5 ln 1? Check all that apply. 2 ln 5x ln (x 26) ln 25x ln 1 ln 25x.

Answer 1

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.The expressions which are equivalent to the given expression are,

• $\ln25+\ln1$
• $\ln25$

Given information-

The expression given in the problem is,

$\ln x+2 \ln 5 +\ln1$

Equivalent expression-

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.

For given expression,

$\ln x+2 \ln 5 +\ln1$

As the above function is the function of x. Thus it can be written as,

$f(x)=\ln x+2 \ln 5 +\ln1$

Logarithm power rule

Logarithm power rule states that the exponent of the logarithm function can transfers to front of the logarithm and vice versa. Thus,

$f(x)=\ln x+ \ln 5^2 +\ln1\\ f(x)=\ln x+ \ln 25 +\ln1$

Now the value of $\ln 1$ is equal to the zero. Thus,

$f(x)=0+\ln 25 +\ln1\\ f(x)=0+\ln 25 +\ln1\\ f(x)=\ln 25 +\ln1\\ f(x)=\ln 25 +0\\ f(x)=\ln 25$

Hence the expressions which are equivalent to the given expression are,

• $\ln25+\ln1$
• $\ln25$

Learn more about the equivalent expression here;

brainly.com/question/10628562

Answer 2

Answer:

its c and d

Step-by-step explanation: