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(100) x ln (2) = ln (100) by ln(2) ln (2) and simplify. Tap for more steps... The result can be shown in multiple forms. Exact Form: Decimal Form:

x^{2}-x-6=0 -x+3\gt 2x+1 ; line\:(1,\:2),\:(3,\:1) f(x)=x^3 ; prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) \frac{d}{dx}(\frac{3x+9}{2-x}) (\sin^2(\theta))' \sin(120)

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There is no pure algebraic solution using elementary functions, but there is an effective numerical method. Explanation: Given: \displaystyle{2}^{{x}}={10}{x} Define: \displaystyle{f{{\left({x}\right)}}}={2}^{{x}}-{10}{x} ...

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Take the specified root of both sides of the equation to eliminate the exponent on the left side. Simplify ±√100 ± 100. Tap for more steps... Pull terms out from under the radical, assuming positive real numbers. The complete solution is the result of both the positive and negative portions of the solution. Tap for more steps...

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