college alg
posted by MYA .
solve the following logarithm equation
log (4x+7)=1+log(x6)
x=?
please show work

log (4x+7)=1+log(x6)
log (4x+7)  log(x6) = 1
log [(4x+7)/(x6)] = 1
(4x+7)/(x6) = 10^1 = 10
10x  60 = 4x + 7
6x = 67
x = 67/6
Respond to this Question
Similar Questions

math
write as a single logarithm: 2logbase3(1/x)+(1/3)logbase3(square root of x) please show the steps to solving this. thanx. remember that 1 log (AxB) = log A + Log B (same base) 2 log (A/B) = log A  log B 3 log A^n = n log A use these … 
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
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 … 
Math  Logarithm
Solve the following logarithm equation. Please show all of your work. log (5 + x) – log(x – 2) = log 2 
college algebra
solve the following logarithm equation log (4x+7)=1+log(x6) x=? 
college algebra
solve the following logarithmic equation. 1. 2log(lower2) (x2) + log(lower2)^2=3 I do not know how to make the 2 by the g on my computer. 2. log(lower729^x) + log(lower27^x) + log(lower3^x) =9 again I do not know how to make the numbers … 
college algebra
Write expression as one logarithm and simplify if appropriate. log 3√x + log x^4  log x^3 4 log (x+3)  5 log (x^2+4) + 1/3 log y I have these who problems but I don't know where to start. HELP Please. 
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). …