We can solve these equations by first simplifying the expressions on the left side of the equations.
1) 23^x + 1 - 3 = 1523^x - 2 = 152*3^x = 173^x = 17 / 23^x = 8.5x = log3(8.5)x ≈ 1.305
2) 35^x + 3 + 25^x + 1 = 775^x(3 + 2) + 4 = 775^x(5) = 735^x = 73 / 5x = log5(14.6)x ≈ 1.123
Therefore, the solutions to the equations are x ≈ 1.305 and x ≈ 1.123.
We can solve these equations by first simplifying the expressions on the left side of the equations.
1) 23^x + 1 - 3 = 15
23^x - 2 = 15
2*3^x = 17
3^x = 17 / 2
3^x = 8.5
x = log3(8.5)
x ≈ 1.305
2) 35^x + 3 + 25^x + 1 = 77
5^x(3 + 2) + 4 = 77
5^x(5) = 73
5^x = 73 / 5
x = log5(14.6)
x ≈ 1.123
Therefore, the solutions to the equations are x ≈ 1.305 and x ≈ 1.123.