Which equation is equivalent to 2 to the power of (3x) = 10
The equation that is equivalent to 2 to the power of (3x) = 10 is:
(3x)log2 = log10
To find an equation that is equivalent to 2^(3x) = 10, we need to eliminate the exponent. To do this, we can take the logarithm of both sides to the base 2. The equation becomes:
log base 2 (2^(3x)) = log base 2 (10)
Using the power rule of logarithms, the exponent comes down as a multiplier:
3x * log base 2 (2) = log base 2 (10)
Since log base 2 (2) equals 1, the equation simplifies to:
3x = log base 2 (10)
Therefore, the equation equivalent to 2^(3x) = 10 is 3x = log base 2 (10).