# Exponential equation

In the set R solve the equation:

$7^{ -5 +19x}=4^{ 3 -20x}$

Result

x =  0.21

#### Solution:

$x = \dfrac{ 3 \cdot \ln (4)-(-5) \cdot \ln(7) }{ 19\cdot \ln (7) - (-20) \cdot \ln (4)} \doteq 0.21$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! ## Next similar math problems:

1. Exponential equation Solve for x: (4^x):0,5=2/64.
2. Exponential equation Solve exponential equation (in real numbers): 98x-2=9
3. The city 3 The city has 22,000 residents. How long it is expected to have 25,000 residents if the average annual population growth is 1.4%?
4. Log if ?, what is b?
5. Coordinate Determine missing coordinate of the point M [x, 120] of the graph of the function f bv rule: y = 5x
6. Computer revolution When we started playing with computers, the first processor, which I remember was the Intel 8080 from 1974, with the performance of 0.5 MIPS. Calculate how much percent a year rose CPU performance when Intel 486DX from 1992 has 54 MIPS. What
7. Sequence Calculate what member of the sequence specified by ? has value 86.
8. Demographics The population grew in the city in 10 years from 42000 to 54500. What is the average annual percentage increase of population?
9. Car value The car loses value 15% every year. Determine a time (in years) when the price will be halved.
10. Geometric progression In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217. After 548 hours decreases the activity of a radioactive substance to 1/9 of the initial value. What is the half-life of the substance? 2 to the power of n divided by 4 to the power of -3 equal 4. What is the vaule of n? Calculate the amount of money generating an annual pension of EUR 1000, payable at the end of the year and for a period of 10 years, shall be inserted into the bank to account with an annual interest rate of 2% Determine the number whose decimal logarithm is -3.8. We have a virus that lives one hour. Every half hour produce two child viruses. What will be the living population of the virus after 3.5 hours? F(x)=log(x+4)-2, what is the x intercept We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?