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<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is
We have to solve the above expression using change of base formula which is given as
Now, let us first apply logarithm for the given expression.
Then given expression turns into as,
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
f(x) =
In this exponential function , the base is
if base is less than 1 then it a decreasing function
We can verify it using a table
We plug in some x and values and find out f(x) to get point for the graph
x -----> f(x)
-1 -----> 2
0 ------> 1
1 -------> 0.5
The table is same as the points in first graph.
So first graph represents the graph of f(x) =
