which properties are present in a table that represents an exponential function in the form y=b^x when b>1
1 answer:
Answer:
The function has the property of exponential growth function.
Step-by-step explanation:
The exponential function is given by , where b > 1.
Now, for x = 0, we get y = 1,
For x = 1, we get y = b
For, x = 2, we get y = b²
And so on.
Now, as b > 1, so, b² > b > 1 and the values of y are increasing as the value of x increases.
Therefore, the function has the property of exponential growth function.
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Answer:
see below
Step-by-step explanation:
exponent to log: = c ---> logₐc = b
ie. question 6
log ₁₀(3x+1) = 2 ----->
that will get you through questions 1 to 3, 5 to 6, and 8
in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3
for questions 7 and 9,
remember that:
logₐc + logₐd = logₐ(cd)
logₐc - logₐd = logₐ()
remember change of base is , this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e