Question

1 solve for x in the expression, round to the nearest tenths. $5^{3x}+4 = 129$? x = 1.0

Explanation:

Step1: Isolate the exponential term

Subtract 4 from both sides:
$5^{3x} = 129 - 4$
$5^{3x} = 125$

Step2: Rewrite 125 as a power of 5

Express 125 as $5^3$:
$5^{3x} = 5^3$

Step3: Equate exponents (same base)

Since bases are equal, set exponents equal:
$3x = 3$

Step4: Solve for x

Divide both sides by 3:
$x = \frac{3}{3} = 1.0$

Answer:

$x = 1.0$