Exponential function - practice problems

Direction: Solve each problem carefully and show your solution in each item.

Number of problems found: 149

Logarithm
Determine the number whose decimal logarithm is -3.8.
Log
If log₄ x+ log₈ x = log_b x, what is b?
Sequence - 5 members
Write the first five members of the sequence a_n =(3n - (-1)^n) +2
Exponential equation
In the set R, solve the equation: 7^{-5 +19x}=4^{3 -20x}
Expression 3801
What is the value of x in the expression 8^x = 1/64
Determine 3861
Determine the value of f: 0.49^f = 0.7
Coordinate
Determine the missing coordinate of the point M [x, $y] of the graph of the function f by rule: y = $b^x
Sequence
Calculate what member of the sequence specified by (5^n-2+15) has value 20.
Sequence 5535
Find the value of the third member of the sequence if the sequence is given by: 3^n + 93.
In 1970
In 1970 the population was 24,000. In 1980 the population was 28,800. By what percent did the population increase?
Expression: 4085
Determine the value of x and y in the expression: x! · 10^y = 0.0504.
Simplify logarithm expr
Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q)
Coordinates 21553
I have to calculate the basis of the exponential function f: A on x. The function passes through point A with coordinates (-2, twenty-five quarters).
Equation: 4386
Solve the power equation: 2.1463 = 0.4179x^0.419
Equation: 4197
Solve the equation: (4096^x) · 8! = 161280
Double of principal
How long will it take for the principal to double at 12.25% annual interest?
Exponential equation
Find x, if 625^x = 5 The equation is exponential because the unknown is in the exponential power of 625
Virus
We have a virus that lives one hour. Every half hour produces two child viruses. What will be the living population of the virus after 3.5 hours?
Determine 3841
Determine the value of x: 2^x = (2^-3): 2
Calculate 3803
Calculate the value of y: 3^y = 0.333

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