All Algebra II Resources
Example Questions
Example Question #2 :Logarithms And Exponents
Solve for:
Round to the nearest hundredth.
To solve this, you need to set up a logarithm. Our exponent is. The number of which it is the exponent ofis thebase. This is the logarithm's base. The valueis the operand of the logarithm. Therefore, we can write an equation:
Now, you cannot do this on your calculator. Therefore, using the rule for converting logarithms, you need to change:
to...
You can put this into your calculator and get:
, or rounded,
Example Question #3 :Logarithms And Exponents
Solve for:
Round to the nearest hundredth.
To solve this, you need to set up a logarithm. Our exponent is. The number of which it is the exponent ofis thebase. This is the logarithm's base. The valueis the operand of the logarithm. Therefore, we can write an equation:
Now, you cannot do this on your calculator. Therefore, using the rule for converting logarithms, you need to change:
to...
You can put this into your calculator and get:
, or rounded,
Example Question #4 :Logarithms And Exponents
Solve for:
Round to the nearest hundredth.
To solve this, you need to set up a logarithm. Our exponent is. The number of which it is the exponent ofis thebase. This is the logarithm's base. The valueis the operand of the logarithm. Therefore, we can write an equation:
Now, you cannot do this on your calculator. Therefore, using the rule for converting logarithms, you need to change:
to...
You can put this into your calculator and get:
, or rounded,
Example Question #5 :Logarithms And Exponents
Write the equationin logarithmic form.
对于logarithmic equations,can be rewritten as.
In this expression,is the base of the equation ().is the exponent () andis the term ().
In putting each term in its appropriate spot, the exponential equation can be converted to.
Example Question #6 :Logarithms And Exponents
Solve the following logarithm for:
Solve the following logarithm:
Recall that we can convert logarithms to exponential form via the following:
Using this approach, convert the given log to exponential form:
Example Question #1 :Exponential Functions
Rewrite the following expression as an exponential expression:
Rewrite the following expression as an exponential expression:
Recall the following property of logs and exponents:
Can be rewritten in the following form:
So, taking the log we are given;
We can rewrite it in the form:
So b must be a really huge number!
Example Question #1 :College Algebra
Convert the following logarithmic equation to an exponential equation:
Convert the following logarithmic equation to an exponential equation:
Recall the following:
This
Can be rewritten as
So, our given logarithm
Can be rewritten as
Fortunately we don't need to expand, because this woud be a very large number!
Example Question #11 :Logarithms And Exponents
Rewrite the follwing equation as a logarithm:
Rewrite the follwing equation as a logarithm:
To complete this problem, recall the following relationship:
can be rewritten as
So, this:
Is the same thing as this:
Example Question #12 :Logarithms And Exponents
Simplify:
When the baseis raised to a certain power, taking the natural log of this whole term will eliminate the exponential and the power can be pulled out as the coefficient.
The answer is:
Example Question #13 :Logarithms And Exponents
Solve:
In order to solve this log, we will need to write 125 in terms of one fifth to a certain power.
Rewrite 125 as an exponent of one-fifth.
According to the log rule,基地将取消,只留下指数.
The answer is:
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