Exponential equation - practice problems

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

Number of problems found: 119

Log
If log₄ x+ log₈ x = log_b x, what is b?
Exponential equation
Solve exponential equation (in real numbers): 2^3x-6=9
Exponential 8360
Solve the exponential equation: 8 raised to x = 40
Exponential equation
In the set R, solve the equation: 7^{-5 +19x}=4^{3 -20x}
Expression 3815
Determine what number equals z in the expression 3^z = 1/243
Expression 3801
What is the value of x in the expression 8^x = 1/64
Powers 3
2 to the power of n divided by 4 to the power of -3 equal 4. What is the value of n?
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.
Expression 3949
Determine what y equals in expression (16^y): 5 = 0.4
Determine 4056
Determine x if 3^x: 3²996 = 81
Expression: 4085
Determine the value of x and y in the expression: x! · 10^y = 0.0504.
Sum-log
The sum of two numbers is $s, and the sum of their logarithms (base 10) is $l. Determine these numbers.
Equation: 4386
Solve the power equation: 2.1463 = 0.4179x^0.419
Equation: 4197
Solve the equation: (4096^x) · 8! = 161280
Expression 3811
Determine what y equals in the expression 5^y = 1/25
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
Insert into GP
Between numbers 5 and 640, insert as many numbers to form a geometric progression so the sum of the numbers you entered will be 630. How many numbers must you insert?

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