Take log each side, but most important to take log of 9.7 log(9.7) = 0.9867717343 now by the law of logs 10^0.9867717343 = 9.7 ( so the 10^X = 9.7 is the exponential form )
y=logx becomes 10^y=x
Find log of 50, this becomes power on base 10, so, 10 1.69897 = 50
Exponential form is ax = b. Logarithmic form is logab = x. For example, 102 = 100 is the same as log10100 = 2. Another example: 53 = 125 is the same as log5125 = 3. If there is no number under the log (for example, log3), the the number is understood to be ten. For example, log8 is the same as log108. A natural log uses the symbol ln. In this case, the number is understood to be e (which equals about 2.718). For example, ln5 is the same as loge5 (which the same as log2.7185).
When X is 1, regardless of the base p.
Log 200=a can be converted to an exponential equation if we know the base of the log. Let's assume it is 10 and you can change the answer accordingly if it is something else. 10^a=200 would be the exponential equation. For a base b, we would have b^a=200
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Take log each side, but most important to take log of 9.7 log(9.7) = 0.9867717343 now by the law of logs 10^0.9867717343 = 9.7 ( so the 10^X = 9.7 is the exponential form )
y=logx becomes 10^y=x
Logb (x)=y is called the logarithmic form where logb means log with base b So to put this in exponential form we let b be the base and y the exponent by=x Here is an example log2 8=3 since 23 =8. In this case the term on the left is the logarithmic form while the one of the right is the exponential form.
log(478) = e10e = 478
Here's logarithmic form: 1 log ^ 10 Now here's the same thing in exponential form: 10^1 So basically it's just two different ways of writing the same thing. Remember that log is always base "10" unless otherwise specified
The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?
10^a=300.. apex!
Using the natural (base e) logs, written as "ln", 3 is eln(3) and 5 is eln(5). Or in base 10, 3=10log(3) and 5=10log(5). Check it out by taking log of both sides: log(3) = log(10log(3)) = log(3) x log(10) =log(3) x 1=log(3).
Since the logarithmic function is the inverse of the exponential function, then we can say that f(x) = 103x and g(x) = log 3x or f-1(x) = log 3x. As we say that the logarithmic function is the reflection of the graph of the exponential function about the line y = x, we can also say that the exponential function is the reflection of the graph of the logarithmic function about the line y = x. The equations y = log(3x) or y = log10(3x) and 10y = 3x are different ways of expressing the same thing. The first equation is in the logarithmic form and the second equivalent equation is in exponential form. Notice that a logarithm, y, is an exponent. So that the question becomes, "changing from logarithmic to exponential form": y = log(3x) means 10y = 3x, where x = (10y)/3.
The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)