The expression you provided is "2log b 10−log b 2". To simplify this, we can use the properties of logarithms. Here are the steps:

1. Apply the power rule of logarithms, which states that log_b(a^n) = n * log_b(a), to the first term:

2log_b(10) becomes log_b(10^2) = log_b(100).

2. So the expression becomes log_b(100) - log_b(2).

3. Next, apply the quotient rule of logarithms, which states that log_b(a) - log_b(c) = log_b(a/c):

log_b(100) - log_b(2) becomes log_b(100/2) = log_b(50).

So, "2log b 10−log b 2" simplifies to "log_b(50)".

Question

The expression you provided is "2log b​ 10−log b​ 2". To simplify this, we can use the properties of logarithms. Here are the steps:

1. Apply the power rule of logarithms, which states that log_b(a^n) = n * log_b(a), to the first term:

2log_b(10) becomes log_b(10^2) = log_b(100).

2. So the expression becomes log_b(100) - log_b(2).

3. Next, apply the quotient rule of logarithms, which states that log_b(a) - log_b(c) = log_b(a/c):

log_b(100) - log_b(2) becomes log_b(100/2) = log_b(50).

So, "2log b​ 10−log b​ 2" simplifies to "log_b(50)".

Knowee AI · Accepted Answer

The expression you provided is "2log b​ 10−log b​ 2". To simplify this, we can use the properties of logarithms. Here are the steps:

1. Apply the power rule of logarithms, which states that log_b(a^n) = n * log_b(a), to the first term:

2log_b(10) becomes log_b(10^2) = log_b(100).

2. So the expression becomes log_b(100) - log_b(2).

3. Next, apply the quotient rule of logarithms, which states that log_b(a) - log_b(c) = log_b(a/c):

log_b(100) - log_b(2) becomes log_b(100/2) = log_b(50).

So, "2log b​ 10−log b​ 2" simplifies to "log_b(50)".

2log b 10−log b 2