Question

LOGARITHMS help please D;
1. e^x-3 = 10^4-x

2. 5^2x+1 = 2^4x-3

Answer 1

e^(x-3) = 10^(4-x)

ln(e^(x-3)) = ln(10^(4-x))

// ln(e) = 1

(x-3) = (4-x)*ln(10)

// ln(10) = 2.3

x-3 = ln(10)*4-x*ln(10)

x-3 = (2.3*4)-2.3x

x-3 = 9.2-2.3x

3.3x = 12.2

x = 3.696969696

Answer 2

Thank you

Answer 3

your welcome