# Pre-Calculus 12

posted by .

Solve using logarithm:
2^(4x+1)=3^x

• Pre-Calculus 12 -

take logs of both sides

log 2^(4x+1) = log 3^x
use rules of logs
(4x+1)log2 = xlog3
4xlog2 + log2 = xlog3
4xlog2 - xlog3 = -log2
x(4log2 - log3) = -log2
x = -log2/(4log2 - log3)
x = log2/(log3 - 4log2)
= ..

let the button-pushing begin

• Pre-Calculus 12 -

Thank you!

## Similar Questions

1. ### pre-calculus

given that c is the logarithm of x in base a, and d is the logarithm of x in base b, find the general statement that expresses the log of x in base ab, in terms of c and d. [*subscripts not included: a,b,ab] loga_x=c ; logb_x=d ...logab_x …
2. ### pre calculus

Write the expression below as a single logarithm. 2in(x+4)-in((x^(2)+x-12)/(x))
3. ### pre calculus

Write the expression below as a single logarithm. Need to know how to work this! ln(x-5/x^2 - 1) - ln (x^2 - 2x -15/x + 1)
4. ### pre-calculus

write the expression as a simple logarithm. express powers. In(x/x-5)+In(x+5/x)-In(x^2-25)
5. ### Pre-Calculus - Reiny

Reiny you helped me with this logarithm yesterday: How did you write it out as log2 ( √A / B^3 ) Laws of logarithms combine, write as a single logarithm Need help on this question please, Im stuck, don't know where to go abouts …
6. ### Pre-Calculus

How to solve this problem by using logarithm: David inherits \$10000 and invests in a Guaranteed Investment Certificate (GIC) that earns 6%, compounded semi-annually. How long will it take for the GIC to be worth \$11000.
7. ### Logarithm help

using logarithms to solve exponential equations. 5^1+x = 2^1-x I need exact numbers. I did one on my own already. 5^x-1 = 9 5^x-1 = 9 log(5^x-1) = log9 (log5)(x-1) = log9 x-1 = (log9/log5) x= (log9/log5)-1 x = 2.3652 Logarithm help …
8. ### math: pre-calculus

Write the expression as a single logarithm. Ln(e^3y)+ln(ey)-4
9. ### Pre-Calculus

Solve the system of equations using matrices. Use Gaussian elimination with back-substitution. x + y + z = -5 x - y + 3z = -1 4x + y + z = -2 I really need help.. 1 1 1 -5 1 -1 3 -1 4 1 1 1 -2 I've done so many different methods to …
10. ### Pre-Calculus 12

Write the following expression as a single logarithm: 4 log 3 + 2

More Similar Questions