Math
posted by Anonymous .
Solve each equation for x
e^(4x+1)=p
log (kx)/ log (5) = c

e^(4x+1)=p
ln(e^(4x+1)) = ln p
(4x+1) lne = lnp , but lne =1
4x+1 = lnp
4x = lnp  1
x = (lnp  1)/4
log (kx)/ log (5) = c
log( kx/log5) = c
kx/log5 = 10^c
kx = log5(10^c)
x = log5(10^c)/k 
scrap the solution to the second equation, I misread the question
here is the correct solution:
log (kx)/ log (5) = c
log kx = c log5
kx = 10^(c log5)
x = 10^(c log5) / k
Respond to this Question
Similar Questions

TRig WIth LoGs help1!!
i have problem i can't solve and the book is no help.. anyone got osme hints or somehting i could start off doing? 
algebra
logarithms Solve the following equations 3^x2=6 Add 2 to both sides of the equation to start. Whatever operation you do to one side of an equation you must do to the other side as well. 3^x  2 + 2 = 6 + 2 3^x = 8 Changing to logs: … 
math
solve for x without using a calculator 5^(x+1) = 25 i know that x would equal 1 because 5^2 is 25, but i don't know how to show how to solve it All you need to do is what you just did: Explain that if x = 1, the equation is satisfied. … 
Mathematics
Prove that log a, log ar, log ar^2 is an a.p. Is the following below correct? 
Math Help Please
Which of the following expressions is equal to log (x sqrty)/z^5 A. log x + log (1/2) + log y– log 5 – log z B. log [x + (1/2)y – 5z] C. log x + (1/2)log y – 5 log z d. [(1/2) log x log y]/(5 log z) 
math
Logarithm!!! Select all of the following that are true statements: (a) log(2x) = log(2) + log(x) (b) log(3x) = 3 log(x) (c) log(12y) = 2 log(2) + log(3y) (d) log(5y) = log(20y) – log(4) (e) log(x) = log(5x) – log(5) (f) ln(25) … 
calculus
Please help me solve this equation. log[2](3)+log[2](x)=log[2](5)+log[2](x2) 1. Solve equation by setting up algebraically. 2. Use appropriate properties of Logarithm to reduce the number of logarithmic terms to only one. 3. Solve … 
Advanced Functions/ Precalculus Log
1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)xlog(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x1). … 
Math
h(x) = log (6x+5/7x4) Find a formula for the inverse function h^1(x) h^1(x) = My work so far h(x) = log(6x+5/7x4) y=log(6x+5/7x4) x=log(6y+5/7y4) 7xy4x= log(6y+5) how would I solve from here. Would I solve for y then do the … 
Calculus AB
How do you solve a system of logarithmic equations?