Take the natural logarithm of both sides of the equation to remove the variable from the exponent. Expand ln(2x) ln (2 x) by moving x x outside the logarithm. Divide each term in xln(2) = ln(9) x ln (2) = ln (9) by ln(2) ln (2) and simplify. Tap for more steps... The result can be shown in multiple forms. Exact Form: Decimal Form:

Identify like terms in the expression. Add or subtract the coefficients of like terms. Rewrite the expression with combined terms. Simplify 4x+5−2x+3. Combine the like terms (4x and −2x): 4x−2x=2x. Combine constants (5 and 3; 5 + 3 = 8).

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\displaystyle{6.57}{\left({3}{s}.{f}.\right)} Explanation: convert \displaystyle{2}^{{x}}={95} to a logarithmic function: exponent: \displaystyle{x} base: \displaystyle{2} result: ... How do you solve \displaystyle{2}^{{{3}{x}}}={9} ?

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In the equation 2x + 3 = 7, for instance, we get x by applying mathematical operations maintaining both sides balanced. In economics, physics, mathematics, engineering, and chemistry as well as other fields, equations are extensively used to understand real world issues to provide answers.